@article{
author = {Khatibzadeh, Hadi and Rezaei, Mahnaz},
title = {On the Existence of Solutions of a Generalized Monotone Equilibrium Problem},
abstract ={Blum and Oettli in their seminal paper studied monotone bifunctions and proved the existence of an equilibrium point. In this work, we extend theirmain result by replacing monotone bifunction with a more general bifunction and prove the existence of an equilibrium point.},
Keywords = {Equilibrium problem, Monotone bifunction, Generalized monotonicity, Equilibrium point},
volume = {1},
Number = {1},
pages = {1-5},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.1},
url = {http://maco.lu.ac.ir/article-1-22-en.html},
eprint = {http://maco.lu.ac.ir/article-1-22-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Pirhadi, Vahi},
title = {A `xi`-Projectively Flat Connection on Kenmotsu Manifolds},
abstract ={In this paper, we introduce a semi-symmetric non-metric connection on `eta`-Kenmotsu manifolds that changes an `eta`-Kenmotsu manifold into an Einstein manifold. Next, we consider an especial version of this connection and show that every Kenmotsu manifold is `xi`-projectively flat with respect to this connection. Also, we prove that if the Kenmotsu manifold `M` is a `xi`-concircular flat with respect to the new connection, then `M` is necessarily of zero scalar curvature. Then, we review the sense of `xi`-conformally flat on Kenmotsu manifolds and show that a `xi`-conformally flat Kenmotsu manifold with respect to the new connection is an `eta`-Einstein with respect to the Levi-Civita connection. Finally, we prove that there is no `xi`-conharmonically flat Kenmotsu manifold with respect to this connection.},
Keywords = {Kenmotsu manifold, `eta`-Einstein manifold, `xi`-concircular flat manifold, `xi`-conformally flat manifold, `xi`-conharmonically flat manifold, `xi`-projectively flat manifold.},
volume = {1},
Number = {1},
pages = {7-14},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.2},
url = {http://maco.lu.ac.ir/article-1-39-en.html},
eprint = {http://maco.lu.ac.ir/article-1-39-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Safaei, Nozar and Barani, Ali},
title = {Schur-Convexity of Integral Arithmetic Means of Co-Ordinated Convex Functions in `R^3`},
abstract ={In this paper, we investigate Schur-convexity of some functions which are obtained from the co-ordinated convex functions on a rectangular box in `R^3`.},
Keywords = {Schur-convexity, Convex functions on the co-ordinates.},
volume = {1},
Number = {1},
pages = {15-24},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.3},
url = {http://maco.lu.ac.ir/article-1-35-en.html},
eprint = {http://maco.lu.ac.ir/article-1-35-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Nyamoradi, Neamat and Teng, Kaimi},
title = {Existence of Three Solutions for Hemi-variational Inequalities Driven With Impulsive Effects},
abstract ={In this paper we prove the existence of at least three solutions to the following second-order impulsive system: where `A: [0, T] rightarrow mathbb{R}^{N times N}` is a continuous map from the interval `[0, T]` to the set of `N`-order symmetric matrixes. The approach is fully based on a recent three critical points theorem of Teng [K. Teng, Two nontrivial solutions for hemivariational inequalities driven by nonlocal elliptic operators, Nonlinear Anal. (RWA) 14 (2013) 867-874].},
Keywords = {Nonsmooth critical point, Variational methods, Locally Lipschitz, Impulsive.},
volume = {1},
Number = {1},
pages = {25-39},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.4},
url = {http://maco.lu.ac.ir/article-1-41-en.html},
eprint = {http://maco.lu.ac.ir/article-1-41-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Abbasi, Naser and Moiseev, Evgenii Ivanovich},
title = {On the Basis Property of an Trigonometric Functions System of The
Frankl Problem With a Non-Local Parity Condition of the First Kind in the Sobolev Space `overline(W)_p^(2l) (0,pi)`},
abstract ={In the present paper, we write out the eigenvalues and the corresponding eigenfunctions of the modified Frankl problem with a nonlocal parity condition of the first kind. We analyze the completeness, the basis property, and the minimality of the eigenfunctions in the space `overline(W)_p^(2l) (0,pi)`, where `overline(W)_p^(2l) (0,pi)` be the set of functions `f in W_p^(2l) (0,pi)`, satisfying of the following conditions: `f^{(2k-1)}(0)=0, k=1,2,...,l`.},
Keywords = {Frankl problem, Lebesgue integral, Holder inequality, Bessel equation, Sobolev space},
volume = {1},
Number = {1},
pages = {41-48},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.5},
url = {http://maco.lu.ac.ir/article-1-43-en.html},
eprint = {http://maco.lu.ac.ir/article-1-43-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Rahimi, Mehdi and Assari, Amir},
title = {Mutual Entropy Map for Continuous Systems on Compact Metric Spaces},
abstract ={In this paper we introduce the concept of mutual entropy map for continuous maps on metric spaces. It is a non-negative extended real number which depends on two measures which are preserved by a system. Then we will extract the Kolmogorov entropy of ergodic systems from the mutual entropy as a special case when the two measures are equal.},
Keywords = {Entropy, Invariant, Mutual entropy.},
volume = {1},
Number = {1},
pages = {49-55},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.6},
url = {http://maco.lu.ac.ir/article-1-42-en.html},
eprint = {http://maco.lu.ac.ir/article-1-42-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Aleomraninejad, Seyyed Mohamad Ali and Solaimani, Mehdi},
title = {Numerical Solution of Some Non-Linear Eigenvalue Differential Equations by Finite Difference-Self Consistent Field Method},
abstract ={The finite difference-self consistent field iteration is presented to solve some non-linear eigenvalue differential equations.Some properties of the self consistent field iteration and finite difference methods required for our subsequent development are given. Numerical examples are included to demonstrate the validity and applicability of the present technique. A comparison is also made with the existing results. The method is easy to implement and yields accurate results.},
Keywords = {Non-linear eigenvalue differential equation, Finite difference method, Self consistent field iteration},
volume = {1},
Number = {1},
pages = {57-64},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.7},
url = {http://maco.lu.ac.ir/article-1-40-en.html},
eprint = {http://maco.lu.ac.ir/article-1-40-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Ranjbar, Mojtaba and Pourghanbar, Somayeh and Nasrabadi, Ebrahim},
title = {An Analytical Solution for the Black-Scholes Equation Using Functional Perturbation Method},
abstract ={One of the greatest accomplishments in modern financial theory, in terms of both approach and applicability has been the BlackScholes option pricing model. It is widely recognized that the value of a European option can be obtained by solving the Black-Scholes equation. In this paper we use functional perturbation method (FPM) for solving Black-Scholes equation to price a European call option. The FPM is a tool based on considering the differential operator as a functional. The equation is expanded functionally by Frechet series. Then a number of successive partial differential equations (PDEs) are obtained that have constant coefficients and differ only in their right hand side part. Therefore we do not need to resolve the different equations for each step. In contrast to methods that have implicit solutions, the FPM yields a closed form explicit solution.},
Keywords = {Black-Scholes equation, European call option, Functional perturbation method},
volume = {1},
Number = {1},
pages = {65-74},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.8},
url = {http://maco.lu.ac.ir/article-1-44-en.html},
eprint = {http://maco.lu.ac.ir/article-1-44-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Thierno, Sow},
title = {General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application},
abstract ={In this paper, we introduce and study a new iterative method which is based on viscosity general algorithm and forward-backward splitting method for finding a common element of the set of common fixed points of multivalued demicontractive and quasi-nonexpansive mappings and the set of solutions of variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings in real Hilbert spaces. We prove that the sequence $x_n$ which is generated by the proposed iterative algorithm converges strongly to a common element of two sets above. Finally, our theorems are applied to approximate a common solution of fixed point problems with set-valued operators and the composite convex minimization problem. Our theorems are significant improvements on several important recent results.},
Keywords = {Common fixed points, Variational inclusion problems, Set-valued operators, Iterative methods},
volume = {1},
Number = {1},
pages = {75-91},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.10},
url = {http://maco.lu.ac.ir/article-1-37-en.html},
eprint = {http://maco.lu.ac.ir/article-1-37-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {AnaloueiAdegani, Ebrahim and Bota, Monica-Felici},
title = {Coupled Coincidence Point Results for Mappings Without Mixed Monotone Property in Partially Ordered `G`-Metric Spaces},
abstract ={In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings which doesn't have the mixed monotone property, in the context of partially ordered `G`-metric spaces. Hence, these results can be applied in a much wider class of problems. Our results improve the result of D. Dori'{c}, Z. Kadelburg and S. Radenovi'{c} [Appl. Math. Lett. (2012)]. We also present two examples to support these new results.},
Keywords = {`G`-metric space, coupled common fixed point, mixed monotone property},
volume = {1},
Number = {1},
pages = {93-106},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.9},
url = {http://maco.lu.ac.ir/article-1-46-en.html},
eprint = {http://maco.lu.ac.ir/article-1-46-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {ThiHongDiem, Huynh},
title = {Variational Approximations of a Dual Pair of Mathematical Programming Problems},
abstract ={We study variational approximations of a dual pair of mathematical programming problems in terms of epi/hypo-convergence and inside epi/hypo-convergence of approximating Lagrange functions of the pair. First, the Painlevé -Kuratowski convergence of approximate saddle points of approximating Lagrange functions is established under the inside epi/hypo-convergence of these approximating Lagrange functions. From this, we obtain a couple of solutions of the pair of problems and a strong duality. Under a stronger variational convergence called ancillary tight epi/hypo-convergence, we obtain the Painle vé-Kuratowski convergence of approximate minsup-points and approximate maxinf-points of approximating Lagrange functions (when approximate saddle points are not necessary to exist).},
Keywords = {Variational approximations, mathematical programming, epi/hypo-convergence, inside epi/hypo-convergence, ancillary tightness, Lagrange functions, strong duality, approximate saddle points, approximate minsup-points, approximate maxinf-points},
volume = {1},
Number = {1},
pages = {107-118},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.11},
url = {http://maco.lu.ac.ir/article-1-49-en.html},
eprint = {http://maco.lu.ac.ir/article-1-49-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Jafari, Somaye},
title = {Optimality Conditions for Solving Nonconvex Set-Valued Equilibrium Problems},
abstract ={In this paper, sufficient conditions ensuring the existence of solutions for set-valued equilibrium problems are obtained. The convexity assumption on the whole domain is not necessary and just the closure of a quasi-self-segment-dense subset of the domain is convex. Using a KKM theorem and a notion of Q-selected preserving $R_{-}^{*}$-intersection ($R_{-}^{*}$-inclusion) for set-valued mapping, the existence results are proved in real Hausdorff topological vector spaces.},
Keywords = {Set-valued equilibrium problem, Quasi-self-segment-dense set, Quasiconvexity, Generalized semicontinuity, Topological vector space.},
volume = {1},
Number = {1},
pages = {119-128},
publisher = {Lorestan University},
doi = {10.29252/maco.1.1.12},
url = {http://maco.lu.ac.ir/article-1-48-en.html},
eprint = {http://maco.lu.ac.ir/article-1-48-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Khojasteh, Farshid and Abbas, Mujahi},
title = {On Common Fixed Point of Non-Self Mappings Enjoys The T-Approximate Strict Fixed
Point Property On the Boundary of Its Domains},
abstract ={In this work, the common T approximate strict fixed point property for multi-valued mappings F,G : X -> P_{cl,bd}(X) is introduced to prove necessary and sufficient condition for existence of a common strict xed point of multi-valued mappings involved therein. Our results extend and unify comparable results in the existing literature. We also provide examples to support our results. },
Keywords = {Multi-valued mapping, common approximate T strict fixed point property, Common strict fixed point, Hausdorff metric.},
volume = {1},
Number = {2},
pages = {1-13},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.1},
url = {http://maco.lu.ac.ir/article-1-47-en.html},
eprint = {http://maco.lu.ac.ir/article-1-47-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Khotanloo, Ali},
title = {The Product Between Three Banach Algebras},
abstract ={Abstract. Let A, B, and C be Banach algebras, α ∈ Hom(A, B) and β ∈ Hom(C, B), and k α k≤ 1, kβ k≤ 1. IN this paper we define the Banach algebra A×α B×β C by new product on A×B×C which is a strongly splitting extension of C by B. Then we show that these products from a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Finally we consider spectrum, Arens regularity, amenability and weak amenability of these products.},
Keywords = {strongly splitting extension, triangular Banach algebras, amenability, weak amenability},
volume = {1},
Number = {2},
pages = {15-24},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.2},
url = {http://maco.lu.ac.ir/article-1-54-en.html},
eprint = {http://maco.lu.ac.ir/article-1-54-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Tayebi, Akbar and Amini, Marzeiy},
title = {Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature},
abstract ={ In this paper, we study conformally flat 4-th root (α, β)-metrics on a manifold $M$ of dimension $ngeq3$. We prove that every conformally flat 4-th root (α, β)-metric with relatively isotropic mean Landsberg curvature must be either Riemannian metrics or locally Minkowski metrics. },
Keywords = {Exponential metric, conformally flat metric, relatively isotropic mean Landsberg curvature.},
volume = {1},
Number = {2},
pages = {25-34},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.3},
url = {http://maco.lu.ac.ir/article-1-55-en.html},
eprint = {http://maco.lu.ac.ir/article-1-55-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Moradipour, Mojtab},
title = {A Variational Inequality Approach for One Dimensional Stefan Problem},
abstract ={In this paper, we develop a numerical method to solve a famous free boundary PDE called the one dimensional Stefan problem. First, we rewrite the PDE as a variational inequality problem (VIP). Using the linear finite element method, we discretize the variational inequality and achieve a linear complementarity problem (LCP). We present some existence and uniqueness theorems for solutions of the variational inequalities and free boundary problems. Finally we solve the LCP numerically by applying a modification of the active set strategy.},
Keywords = {Stefan problem, Variational inequalities, Linear complementarity problems.},
volume = {1},
Number = {2},
pages = {35-43},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.4},
url = {http://maco.lu.ac.ir/article-1-57-en.html},
eprint = {http://maco.lu.ac.ir/article-1-57-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Izadikhah, Mohammad and Karapinar, Erdal},
title = {Enhanced Multi-Objective Voting Data Envelopment Analysis Models with Common Set of Weights},
abstract ={The important issue of the aggregation preference is how to determine the weights associated with different ranking places and DEA models play an important role in this subject. DEA models use assignments of the same aggregate value (equal to unity) to evaluate multiple alternatives as efficient. Furthermore, overly diverse weights can appear, thus, the efficiency of different alternatives obtained by different sets of weights may be unable to be compared and ranked on the same basis. In order to solve two above problems, and rank all the alternatives on the same scale, in this paper, we propose a multiple objective programming (MOP) approach for generating a common set of weights in the DEA framework. Also, we develop a novel model to make a maximum discriminating among candidates’ rankings. Additionally, we present two scenarios to provide suitable strategies for solving the proposed MOP model.},
Keywords = {Multi-objective programming, Voting, Aggregation of preferences, Data envelopment analysis, Common set of weights, Ranking},
volume = {1},
Number = {2},
pages = {45-58},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.5},
url = {http://maco.lu.ac.ir/article-1-56-en.html},
eprint = {http://maco.lu.ac.ir/article-1-56-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Sepehrian, Behnam and Razzaghi, Mohse},
title = {A New Method for Solving Nonlinear Volterra-Hammerstein Integral Equations Via Single-Term Walsh Series},
abstract ={In this article, the properties of single-term Walsh series are presented and utilized for solving the nonlinear Volterra-Hammerstein integral equations of second kind. The interval [0;1) is divided tomequal subintervals,mis a positive integer number. The midpoint of each subinterval is chosen as a suitable collocation point. By the method the computations of integral equations reduce into some nonlinear algebraic equations. The method is computationally attractive, and gives a continuous approximate solution. An analysis for the convergence of method is presented.The efficiency and accuracy of the method are demonstrated through illustrative examples. Some comparisons aremade with the existing results.},
Keywords = {Collocation method, Integral equations, STWS method, Volterra-Hammerstein},
volume = {1},
Number = {2},
pages = {59-69},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.6},
url = {http://maco.lu.ac.ir/article-1-58-en.html},
eprint = {http://maco.lu.ac.ir/article-1-58-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Fathi, Hedayat and Hosseinioun, Seyed Alirez},
title = {Variational Inequalities on 2-Inner Product Spaces},
abstract ={We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is studied.},
Keywords = {Variational inequality, 2-Inner product spaces, Fixed point theory, Best approximation},
volume = {1},
Number = {2},
pages = {71-80},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.7},
url = {http://maco.lu.ac.ir/article-1-60-en.html},
eprint = {http://maco.lu.ac.ir/article-1-60-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Sharahi, Esa and Peyghan, Esmaiel and Baghban, Amir},
title = {Adams-Moulton Method Approach to Geodesic Paths on 2D Surfaces},
abstract ={Our aim in this paper, is applying Adams-Moulton algorithm to find the geodesics as the answers of the classical system of ordinary differential equations on a 2-dimensional surface for which a Riemannian metric is defined.},
Keywords = {Adams-Moulton algorithm, Euclidean space, geodesic, navigation problem, Riemannian manifold, Runge-Kutta algorithm.},
volume = {1},
Number = {2},
pages = {81-93},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.8},
url = {http://maco.lu.ac.ir/article-1-66-en.html},
eprint = {http://maco.lu.ac.ir/article-1-66-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Asadi, Raheleh and Karimi, Lotfollah and Feizi, Esmaeil},
title = {Best `omega`-Proximity Point For `omega`-Proximal Quasi Contraction Mappings in Modular Metric Spaces},
abstract ={In this paper we introduce `omega`-proximal quasi contraction mapping and best `omega`-proximity point in modular metric spaces. In fact, we show that every `omega`-proximal quasi contraction mapping has unique best `omega`-proximity point in modular metric spaces. Finally, we give an example to illustrate the applications of our results.},
Keywords = {modular metric space, best proximity point, proximal quasi contraction map, $omega$-proximal quasi contraction, proximal Picard sequence and T-orbitally $omega$-complete.},
volume = {1},
Number = {2},
pages = {95-101},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.9},
url = {http://maco.lu.ac.ir/article-1-59-en.html},
eprint = {http://maco.lu.ac.ir/article-1-59-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {SeyedEsmaeili, Fatemeh Sadat and Rostamy-Malkhalifeh, Mohsen and HosseinzadehLotfi, Farh},
title = {Two-Stage Network DEA Model Under Interval Data},
abstract ={The main goal of this paper is to propose interval network data envelopment analysis (INDEA) model for performance evaluation of network decision making units (DMUs) with two-stage network structure under data uncertainty. It should be explained that for dealing with uncertainty of data, an interval programming method as a popular uncertainty programming approach is applied. Also, to show the applicability of proposed model, INDEA approach is implemented for performance measurement and ranking of 10 insurance companies from Iranian insurance industry. Note that insurance companies are undoubtedly one of the most important pillars of the financial markets, whose great performance will drive the economy of the country. The empirical results indicate that the proposed INDEA is capable to be utilized to assess the performance of two-stage DMUs in the presence of interval data.},
Keywords = {Network Data Envelopment Analysis, Two-Stage Structure, Interval Data, Uncertainty, Interval Programming.},
volume = {1},
Number = {2},
pages = {103-108},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.10},
url = {http://maco.lu.ac.ir/article-1-65-en.html},
eprint = {http://maco.lu.ac.ir/article-1-65-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Mohammed, Shehu Shagari and Ullah, Naimat},
title = {Fixed Point Results in Complex Valued Rectangular Extended $b$-Metric Spaces with Applications},
abstract ={In this article, two new fixed point results in the framework of complex-valued rectangular extended $b$-metric space are established. Our results include as special cases, some well-known results in the comparable literature. We provide nontrivial examples and an existence theorem of a Fredholm type integral equation to support our assertions and to indicate a usability of the results presented herein.},
Keywords = {Complex valued metric space, Complex Valued Rectangular Extended $b$-metric space, Fixed point, Integral equation.},
volume = {1},
Number = {2},
pages = {109-122},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.11},
url = {http://maco.lu.ac.ir/article-1-64-en.html},
eprint = {http://maco.lu.ac.ir/article-1-64-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}
@article{
author = {Zivari-Kazempour, Abbas and Hadadi, Mohammad Rez},
title = {Some properties of $varphi$-convex functions},
abstract ={In this paper, some basic results under various conditions for $varphi$-convex functions are investigated. },
Keywords = {$varphi$-convex, $varphi$-affine, linear, continuous.},
volume = {1},
Number = {2},
pages = {123-129},
publisher = {Lorestan University},
doi = {10.29252/maco.1.2.12},
url = {http://maco.lu.ac.ir/article-1-67-en.html},
eprint = {http://maco.lu.ac.ir/article-1-67-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2020}
}