@article{
author = {DehghanNezhad, Akbar and Beizavi, Sareh},
title = {A New Approach to the Chromatic Polynomial Structure on Finsler Manifolds},
abstract ={In this paper, the chromatic polynomial structure on Riemannian manifolds and the almost golden structure on the tangent bundle of a Finsler manifold have been studied. A class of g-natural metrics on the tangent bundle of a Finsler manifold have been considered and some conditions under which the golden structure is compatible with the above-mentioned metric are proposed. The Levi-Civita connection associated with the mentioned metric is calculated and the results of it are presented. Finally, the integrability of the golden structure and its compatibility with the covariant derivative is studied.},
Keywords = {Finsler metric, polynomial structure, golden structure.},
volume = {2},
Number = {2},
pages = {1-16},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.1},
url = {http://maco.lu.ac.ir/article-1-84-en.html},
eprint = {http://maco.lu.ac.ir/article-1-84-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Kasbi, Tohid and Roomi, Vahi},
title = {On the Global Stability, Existence and Nonexistence of Limit Cycles in a Predator-Prey System},
abstract ={The existence and number of limit cycles is an important problem in the study of ordinary differential equations and dynamical systems. In this work we consider $2$-dimensional predator-prey system and, using Poincarchr('39'){e}-Bendixson theorem and LaSallechr('39')s invariance principle, present some new necessary and some new sufficient conditions for the existence and nonexistence of limit cycles of the system. These results extend and improve the previous results in this subject. Local or global stability of the rest points of a system is also an important issue in the study of the equations and systems. In this paper a sufficient condition about global stability of a critical point of the system will also be presented. Our results are sharp and are applicable for predator-prey systems with functional response which is function of prey and predator. At the end of the manuscript, some examples of well-known predator-prey systems are provided to illustrate our results.},
Keywords = {Dynamical System, Predator-Prey system, Limit Cycle, Global Stability},
volume = {2},
Number = {2},
pages = {17-26},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.2},
url = {http://maco.lu.ac.ir/article-1-83-en.html},
eprint = {http://maco.lu.ac.ir/article-1-83-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {OlfatianGillan, Behrooz and Sahami, Amir},
title = {A Note on phi-Approximate Biflatness of a Semogroup Algebra},
abstract ={In this note, we show that cite[Theorem 2.3]{ghorb} is not true. In fact, we show that $ell^{1}(mathbb{N}_{max})$ is a unital Banach algebra which is $phi$-pseudo amenable but it is not $phi$-approximate biflat for some $phiin Hom(ell^{1}(mathbb{N}_{max}))$.},
Keywords = {Semigroup algebras, $phi$-approximate biflatness, amenability},
volume = {2},
Number = {2},
pages = {27-30},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.3},
url = {http://maco.lu.ac.ir/article-1-79-en.html},
eprint = {http://maco.lu.ac.ir/article-1-79-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Ofem, Austine and Igbokwe, Donatus},
title = {New Modified Implicit Iterative Algorithm for Finite Families of Two Total Asymptotically Pseudocntractive Mappings},
abstract ={In this article, we proposed a modified implicit iterative algorithm for approximation of common fixed point of finite families of two uniformly L-Lipschitzian total asymptotically pseudocontractive mappings in Banach spaces. Our new iterative algorithm contains some well known iterative algorithm which has been used by several authors for approximating fixed points of different classes of mappings. We prove some convergence theorems of our new iterative method and validate our main result with a numerical ex- ample. Our result is an improvement and generalization of the results of some well known authors in the existing literature.},
Keywords = {Fixed point, implicit iterative algorithm, strong convergence, Banach space, total asymptotically pseudocontractive mapping, normalized duality mapping.},
volume = {2},
Number = {2},
pages = {31-44},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.4},
url = {http://maco.lu.ac.ir/article-1-85-en.html},
eprint = {http://maco.lu.ac.ir/article-1-85-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Mombini1, Esmaeil and Rostamy-Malkhalifeh2, Mohsen and Saraj, Mansor},
title = {The Sensitivity Analysis and Sustainability Radius of Economic Efficiency in Data Envelopment Analysis},
abstract ={In economics, a production function relates the outputs of a production process to the inputs of the production. Generally, the production function is not available due to the complexity of the production process, the changes in production technology. Therefore, we have to consider an approximation of the production function. Data Envelopment Analysis (DEA) is a non-parametric methodology for obtaining an approximation of the production function and assessing the relative efficiency of economic units. Sensitivity analysis and sustainability evaluation of Decision Making Units (DMUs) are as the most important concerns of Decision Makers (DM). This study considers the sustainability radius of economic performance of DMUs and then proposes some approaches combined with sensitivity analysis for determining the sustainability radius of cost efficiency, revenue efficiency and profit efficiency of units. The proposed approaches eliminate the unit under evaluation from the observed data and disturb the data of it, based on the sensitivity analysis, to determine the sustainability radius of cost efficiency, revenue efficiency and profit efficiency of decision making units. Potential application of our proposed methods is illustrated with a dataset consisting of 21 medical centers in Taiwan.},
Keywords = {Data Envelopment Analysis, Economic efficiency, Cost efficiency, Revenue efficiency, Profit efficiency, Sustainability radius},
volume = {2},
Number = {2},
pages = {45-55},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.5},
url = {http://maco.lu.ac.ir/article-1-78-en.html},
eprint = {http://maco.lu.ac.ir/article-1-78-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Moayyerizadeh, Zahr},
title = {Absolute-(p; r)-∗-Paranormality And Block Matrix Operators},
abstract ={In this paper, we introduce a new model of a block matrix operator induced by two sequences and characterize its absolute-(p; r)- ∗-paranormality. Next, we give examples of these operators to show that absolute-(p; r)-∗-paranormal classes are distinct. },
Keywords = {Composition operator, Conditional expectation, Absolute-(p, r)-∗- paranormal operators, Block matrix operators.},
volume = {2},
Number = {2},
pages = {57-65},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.6},
url = {http://maco.lu.ac.ir/article-1-87-en.html},
eprint = {http://maco.lu.ac.ir/article-1-87-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Taghavi, Ali},
title = {A Complex Limit Cycle not Intersecting the Real Plane},
abstract ={We give a precise example of a polynomial vector feld on $mathbb{R}^2$ whose corresponding singular holomorphic foliation of $mathbb{C}^2$ possesses a complex limit cycle which does not intersect the real plane $mathbb{R}^2$.},
Keywords = {Holomorphic Foliation, Complex Limit cycle},
volume = {2},
Number = {2},
pages = {67-71},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.7},
url = {http://maco.lu.ac.ir/article-1-86-en.html},
eprint = {http://maco.lu.ac.ir/article-1-86-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {HameedMohammed, Nafy},
title = {Coefficient Bounds for a New Class of Bi-Univalent Functions Associated with Subordination},
abstract ={The main purpose of this article is to introduce and investigate the subcategory $mathcal{H}_{Sigma}(n,beta;phi)$ of bi-univalent functions in the open unit disk $mathbb{U}$ related to subordination. Moreover, estimates on coefficient $|a_n|$ for functions belong to this subcategory are given applying different technique. In addition, smaller upper bound and more accurate estimation than the previous outcomes are obtained.},
Keywords = {Analytic function, univalent function, bi-univalent function, coefficient estimates, subordination},
volume = {2},
Number = {2},
pages = {73-82},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.8},
url = {http://maco.lu.ac.ir/article-1-89-en.html},
eprint = {http://maco.lu.ac.ir/article-1-89-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Siva, Gurusamy},
title = {Generalized Common Fixed Point Results in Cone Metric Spaces},
abstract ={Common fixed point theorems for three self mappings satisfying generalized contractive conditions in cone metric spaces are derived. Also, some common fixed point results for two self mappings are deduced. Moreover, these all results generalize some important familiar results. Given example to illustrate our main result. Furthermore, an existence theorem for the common solution of the two Urysohn integral equations obtained by using our main result.},
Keywords = {Cone metric space, contraction, Common fixed point.},
volume = {2},
Number = {2},
pages = {83-91},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.9},
url = {http://maco.lu.ac.ir/article-1-73-en.html},
eprint = {http://maco.lu.ac.ir/article-1-73-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Agwu, Imo and Igbokwe, Ikechi},
title = {Strong Convergence Theorems for a General Class of Mapping Via Quasi-implicit Iterative Schemes},
abstract ={In this paper, we introduce a novel iterative scheme called quasi-implicit iterative scheme and study its stability as well as strong convergence for general class of maps in a normed linear space. Further, we proved rate of convergence and gave a numerical example to demonstrate that our iterative scheme is faster than semi- implicit iterative scheme and many more other iterative schemes in this direction.},
Keywords = {Strong convergence, Quasi-implicit iterative scheme, Semi-implicit iterative scheme, Stability, Generalized contractive-like operators, xed point, Real normed space.},
volume = {2},
Number = {2},
pages = {93-104},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.10},
url = {http://maco.lu.ac.ir/article-1-91-en.html},
eprint = {http://maco.lu.ac.ir/article-1-91-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Safaei, Nozar},
title = {Generalized Schur-Convex Sums and Co-Ordinated Convex Functions in Plane},
abstract ={In the paper, we investigate Schur-convexity of differences which are obtained from the Hermite-Hadamard type inequality for co-ordinated convex functions on a square in plane. A generated Schur-convex sums by co-ordinated convex functions also is given.},
Keywords = {Schur-convexity, convex functions on the co-ordinates},
volume = {2},
Number = {2},
pages = {105-117},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.11},
url = {http://maco.lu.ac.ir/article-1-93-en.html},
eprint = {http://maco.lu.ac.ir/article-1-93-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}
@article{
author = {Torkashvand, Vali and Kazemi, Manochehr and Moccari, M},
title = {Structure a Family of Three-Step with-Memory Methods for Solving Nonlinear Equations and Their Dynamics},
abstract ={In this work, we will ﬁrst propose an optimal three-step without-memory method for solving nonlinear equations. Then, by introducing the self-accelerating parameters, the with-memory-methods have been built. They have a ﬁfty-nine percentage improvement in the convergence order. The proposed methods have not the problems of calculating the function derivative. We use these Steffensen- type methods to solve nonlinear equations with simple zeroes with the appropri- ate initial approximation of the root. we have solved a few nonlinear problems to justify the theoretical study. Finally, are described the dynamics of the with- memory method for complex polynomials of degree two.},
Keywords = {With-memory method, Basin of attraction, Accelerator parameter,R- order convergence,Nonlinear equations},
volume = {2},
Number = {2},
pages = {119-137},
publisher = {Lorestan University},
doi = {10.52547/maco.2.2.12},
url = {http://maco.lu.ac.ir/article-1-88-en.html},
eprint = {http://maco.lu.ac.ir/article-1-88-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2021}
}