Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
A New Approach to the Chromatic Polynomial Structure on Finsler Manifolds
1
16
EN
Akbar
Dehghan Nezhad
Iran University of Science and Technology
Sareh
Beizavi
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
On the Global Stability, Existence and Nonexistence of Limit Cycles in a Predator-Prey System
17
26
EN
Tohid
Kasbi
University of Tabriz
Vahid
Roomi
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
A Note on phi-Approximate Biflatness of a Semogroup Algebra
27
30
EN
Behrooz
Olfatian Gillan
Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran.
Amir
Sahami
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 $phiin Hom(ell^{1}(mathbb{N}_{max}))$.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
New Modified Implicit Iterative Algorithm for Finite Families of Two Total Asymptotically Pseudocntractive Mappings
31
44
EN
Austine
Ofem
University of Uyo, Uyo, Nigeria
Donatus
Igbokwe
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
The Sensitivity Analysis and Sustainability Radius of Economic Efficiency in Data Envelopment Analysis
45
55
EN
Esmaeil
Mombini1
Ahvaz Branch, Islamic Azad University
Mohsen
Rostamy-Malkhalifeh2
Science and Research Branch, Islamic Azad University
Mansor
Saraj
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
Absolute-(p; r)-∗-Paranormality And Block Matrix Operators
57
65
EN
Zahra
Moayyerizadeh
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
A Complex Limit Cycle not Intersecting the Real Plane
67
71
EN
Ali
Taghavi
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 $mathbb{R}^2$.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
Coefficient Bounds for a New Class of Bi-Univalent Functions Associated with Subordination
73
82
EN
Nafya
Hameed Mohammed
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
Generalized Common Fixed Point Results in Cone Metric Spaces
83
91
EN
Gurusamy
Siva
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
Strong Convergence Theorems for a General Class of Mapping Via Quasi-implicit Iterative Schemes
93
104
EN
Imo
Agwu
Michael Okpara University of Agriculture, Umudike, P. M. B. 7267, Abia State, Nigerian
Ikechi
Igbokwe
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
Generalized Schur-Convex Sums and Co-Ordinated Convex Functions in Plane
105
117
EN
Nozar
Safaei
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.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
2
2
2021
12
1
Structure a Family of Three-Step with-Memory Methods for Solving Nonlinear Equations and Their Dynamics
119
137
EN
Vali
Torkashvand
Member of Young Researchers and Elite club Shahr-e-Qods Branch Islamic Azad University, Tehran, Iran
Manochehr
Kazemi
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
Mandana
Moccari
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.