eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
1
13
article
On Common Fixed Point of Non-Self Mappings Enjoys The T-Approximate Strict Fixed
Point Property On the Boundary of Its Domains
Farshid Khojasteh
fr_khojasteh@yahoo.com
1
Mujahid Abbas
mujahid.abbas@up.ac.za
2
Young Researcher and Elite Club & Arak Branch of Islamic Azad University
University of Pretoria
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.
http://maco.lu.ac.ir/article-1-47-en.pdf
Multi-valued mapping
common approximate T strict fixed point property
Common strict fixed point
Hausdorff metric.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
15
24
article
The Product Between Three Banach Algebras
Ali Khotanloo
alikhotanlo@yahoo.com
1
Department of Mathematics, Faculty of Sciences, Malayer University, Malayer, Hamedan, Iran.
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.
http://maco.lu.ac.ir/article-1-54-en.pdf
strongly splitting extension
triangular Banach algebras
amenability
weak amenability
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
25
34
article
Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature
Akbar Tayebi
akbar.tayebi@gmail.com
1
Marzeiya Amini
marzeia.amini@gmail.com
2
University of Qom
University of Qom
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.
http://maco.lu.ac.ir/article-1-55-en.pdf
Exponential metric
conformally flat metric
relatively isotropic mean Landsberg curvature.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
35
43
article
A Variational Inequality Approach for One Dimensional Stefan Problem
Mojtaba Moradipour
moradipour.mo@lu.ac.ir
1
Lorestan University
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.
http://maco.lu.ac.ir/article-1-57-en.pdf
Stefan problem
Variational inequalities
Linear complementarity problems.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
45
58
article
Enhanced Multi-Objective Voting Data Envelopment Analysis Models with Common Set of Weights
Mohammad Izadikhah
m_izadikhah@yahoo.com
1
Erdal Karapinar
erdalkarapinar@yahoo.com
2
Arak Branch of Islamic Azad University.
Department of Medical Research, China Medical University, Taichung, Taiwan.
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.
http://maco.lu.ac.ir/article-1-56-en.pdf
Multi-objective programming
Voting
Aggregation of preferences
Data envelopment analysis
Common set of weights
Ranking
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
59
69
article
A New Method for Solving Nonlinear Volterra-Hammerstein Integral Equations Via Single-Term Walsh Series
Behnam Sepehrian
b-sepehrian@araku.ac.ir
1
Mohsen Razzaghi
razzaghi@math.msstate.edu
2
Arak University
Mississippi State University
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.
http://maco.lu.ac.ir/article-1-58-en.pdf
Collocation method
Integral equations
STWS method
Volterra-Hammerstein
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
71
80
article
Variational Inequalities on 2-Inner Product Spaces
Hedayat Fathi
hedayat.fatthi@gmail.com
1
Seyed Alireza Hosseinioun
ahosseinioun@yahoo.com
2
Shahid Beheshti University
Shahid Beheshti University
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.
http://maco.lu.ac.ir/article-1-60-en.pdf
Variational inequality
2-Inner product spaces
Fixed point theory
Best approximation
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
81
93
article
Adams-Moulton Method Approach to Geodesic Paths on 2D Surfaces
Esa Sharahi
esasharahi@gmail.com
1
Esmaiel Peyghan
epeyghan@gmail.com
2
Amir Baghban
amirbaghban87@gmail.com
3
Arak University
Arak University
Arak University
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.
http://maco.lu.ac.ir/article-1-66-en.pdf
Adams-Moulton algorithm
Euclidean space
geodesic
navigation problem
Riemannian manifold
Runge-Kutta algorithm.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
95
101
article
Best `omega`-Proximity Point For `omega`-Proximal Quasi Contraction Mappings in Modular Metric Spaces
Raheleh Asadi
asadiraheleh@yahoo.com.sg
1
Lotfollah Karimi
lkarimi@hut.ac.ir
2
Esmaeil Feizi
efeizi@basu.ac.ir
3
University College Omran & Tosee
Hamedan University of Technology,
Bu-Ali Sina University
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.
http://maco.lu.ac.ir/article-1-59-en.pdf
modular metric space
best proximity point
proximal quasi contraction map
$omega$-proximal quasi contraction
proximal Picard sequence and T-orbitally $omega$-complete.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
103
108
article
Two-Stage Network DEA Model Under Interval Data
Fatemeh Sadat Seyed Esmaeili
rozita.esmaeeli@gmail.com
1
Mohsen Rostamy-Malkhalifeh
mohsen_rostamy@yahoo.com
2
Farhad Hosseinzadeh Lotfi
farhad@hosseinzadeh.ir
3
Science and Research Branch, Islamic Azad University.
Science and Research Branch, Islamic Azad University.
Science and Research Branch, Islamic Azad University.
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.
http://maco.lu.ac.ir/article-1-65-en.pdf
Network Data Envelopment Analysis
Two-Stage Structure
Interval Data
Uncertainty
Interval Programming.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
109
122
article
Fixed Point Results in Complex Valued Rectangular Extended $b$-Metric Spaces with Applications
Shehu Shagari Mohammed
shagaris@ymail.com
1
Naimat Ullah
naimat347@gmail.com
2
Ahmadu Bello University
Department of Mathematics, Visiting Faculty, University of Mianwali, Pakistan
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.
http://maco.lu.ac.ir/article-1-64-en.pdf
Complex valued metric space
Complex Valued Rectangular Extended $b$-metric space
Fixed point
Integral equation.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2020-12
1
2
123
129
article
Some properties of $varphi$-convex functions
Abbas Zivari-Kazempour
zivari@abru.ac.ir
1
Mohammad Reza Hadadi
haddadi@abru.ac.ir
2
Ayatollah Borujerdi University
Ayatollah Borujerdi University
In this paper, some basic results under various conditions for $varphi$-convex functions are investigated.
http://maco.lu.ac.ir/article-1-67-en.pdf
$varphi$-convex
$varphi$-affine
linear
continuous.