eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
1
16
article
A New Approach to the Chromatic Polynomial Structure on Finsler Manifolds
Akbar Dehghan Nezhad
dehghannezhad@iust.ac.ir
1
Sareh Beizavi
h_beizavi@mathdep.iust.ac.ir
2
Iran University of Science and Technology
Iran University of Science and Technology
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.
http://maco.lu.ac.ir/article-1-84-en.pdf
Finsler metric
polynomial structure
golden structure.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
17
26
article
On the Global Stability, Existence and Nonexistence of Limit Cycles in a Predator-Prey System
Tohid Kasbi
tohid.kasbi@gmail.com
1
Vahid Roomi
roomi@azaruniv.ac.ir
2
University of Tabriz
Azarbaijan Shahid Madani University
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.
http://maco.lu.ac.ir/article-1-83-en.pdf
Dynamical System
Predator-Prey system
Limit Cycle
Global Stability
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
27
30
article
A Note on phi-Approximate Biflatness of a Semogroup Algebra
Behrooz Olfatian Gillan
b.olfatian@kut.ac.ir
1
Amir Sahami
a.sahami@ilam.ac.ir
2
Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran.
Department of Mathematics, Faculty of Basic Sciences, Ilam University, P.O. Box 69315-516, Ilam, Iran.
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 $phiin Hom(ell^{1}(mathbb{N}_{max}))$.
http://maco.lu.ac.ir/article-1-79-en.pdf
Semigroup algebras
$phi$-approximate biflatness
amenability
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
31
44
article
New Modified Implicit Iterative Algorithm for Finite Families of Two Total Asymptotically Pseudocntractive Mappings
Austine Ofem
ofemaustine@gmail.com
1
Donatus Igbokwe
donatusigbokewdi@gmail.com
2
University of Uyo, Uyo, Nigeria
Michael Okpara University of Agriculture, Umudike, Nigeria.
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.
http://maco.lu.ac.ir/article-1-85-en.pdf
Fixed point
implicit iterative algorithm
strong convergence
Banach space
total asymptotically pseudocontractive mapping
normalized duality mapping.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
45
55
article
The Sensitivity Analysis and Sustainability Radius of Economic Efficiency in Data Envelopment Analysis
Esmaeil Mombini1
mohsen_rostamy@yahoo.com
1
Mohsen Rostamy-Malkhalifeh2
mohsen_rostamy@yahoo.com
2
Mansor Saraj
mohsen_rostamy@yahoo.com
3
Ahvaz Branch, Islamic Azad University
Science and Research Branch, Islamic Azad University
Shahid Chamran University of Ahvaz
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.
http://maco.lu.ac.ir/article-1-78-en.pdf
Data Envelopment Analysis
Economic efficiency
Cost efficiency
Revenue efficiency
Profit efficiency
Sustainability radius
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
57
65
article
Absolute-(p; r)-∗-Paranormality And Block Matrix Operators
Zahra Moayyerizadeh
moayerizadeh.za@lu.ac.ir
1
Lorestan University
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.
http://maco.lu.ac.ir/article-1-87-en.pdf
Composition operator
Conditional expectation
Absolute-(p
r)-∗- paranormal operators
Block matrix operators.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
67
71
article
A Complex Limit Cycle not Intersecting the Real Plane
Ali Taghavi
taghavi@qut.ac.ir
1
Qom University of Technology
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 $mathbb{R}^2$.
http://maco.lu.ac.ir/article-1-86-en.pdf
Holomorphic Foliation
Complex Limit cycle
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
73
82
article
Coefficient Bounds for a New Class of Bi-Univalent Functions Associated with Subordination
Nafya Hameed Mohammed
nafya.mohammad@uor.edu.krd
1
Department of Mathematics, College of Basic Education, University of Raparin, Kurdistan Region-Iraq
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.
http://maco.lu.ac.ir/article-1-89-en.pdf
Analytic function
univalent function
bi-univalent function
coefficient estimates
subordination
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
83
91
article
Generalized Common Fixed Point Results in Cone Metric Spaces
Gurusamy Siva
gsivamaths2012@gmail.com
1
Alagappa University,
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.
http://maco.lu.ac.ir/article-1-73-en.pdf
Cone metric space
contraction
Common fixed point.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
93
104
article
Strong Convergence Theorems for a General Class of Mapping Via Quasi-implicit Iterative Schemes
Imo Agwu
agwuimo@gmail.com
1
Ikechi Igbokwe
igbokwedi@yahoo.com.
2
Michael Okpara University of Agriculture, Umudike, P. M. B. 7267, Abia State, Nigerian
Michael Okpara University of Agriculture, Umudike, P. M. B. 7267, Abia State, Nigerian
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.
http://maco.lu.ac.ir/article-1-91-en.pdf
Strong convergence
Quasi-implicit iterative scheme
Semi-implicit iterative scheme
Stability
Generalized contractive-like operators
xed point
Real normed space.
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
105
117
article
Generalized Schur-Convex Sums and Co-Ordinated Convex Functions in Plane
Nozar Safaei
nouzarsafaei@yahoo.com
1
Department of Mathematics, Korramabad Branch, Islamic Azad University, Khorramabad, Iran.
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.
http://maco.lu.ac.ir/article-1-93-en.pdf
Schur-convexity
convex functions on the co-ordinates
eng
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2717-0624
2021-12
2
2
119
137
article
Structure a Family of Three-Step with-Memory Methods for Solving Nonlinear Equations and Their Dynamics
Vali Torkashvand
torkashvand1978@gmail.com
1
Manochehr Kazemi
univer_ka@yahoo.com
2
Mandana Moccari
m_moccari@yahoo.com
3
Member of Young Researchers and Elite club Shahr-e-Qods Branch Islamic Azad University, Tehran, Iran
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
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.
http://maco.lu.ac.ir/article-1-88-en.pdf
With-memory method
Basin of attraction
Accelerator parameter
R- order convergence
Nonlinear equations