Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
An Iterative Algorithm for Split Equality Fixed Point and Null Point Problem of
Lipschitzian Quasi-pseudocontractive Mappings
1
25
EN
UKO
SUNDAY JIM
Department of Mathematics, University of Uyo, Nigeria.
DONATUS of Mathematics, University of Uyo, Nigeria.
I. IGBOKWE
Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria
We introduce an iterative algorithm for split equality fixed point and null point problem for Lipschitzian quasi-pseudocontractive
mappings and maximal monotone operators which includes split equality feasibility problem, split equality fixed problem, split equality null point
problem and other problem related to fixed point problems. Moreover, we establish a strong convergence results in real Hilbert spaces under
some suitable conditions and reduce our main result to above-mentioned problems. Finally, we apply the study to split equality feasibility problem (SEFP), split equality equilibrium problem (SEEP), split equality variational inequality problem (SEVIP) and split equality optimization problem (SEOP). The results presented in the paper extend and improve many recent results.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
Density of Balanced Convex-polynomials In LP(μ)
27
32
EN
Ali
Iloon Kashkooly
Yasouj University
Gholamreza
baseri
Farhangian University
A bounded linear operator T on a locally convex space X is balanced convex-cyclic if there exists a vector x 2 X such that the balanced convex hull of orb(T; x) is dense in X.A balanced convex-polynomial is a balanced convex combination of monomials f1; z; z2; z3; : : : g.In this paper we prove that the balanced convex-polynomials are dense in Lp() when ([-1; 1]) = 0.Our results are used to characterize which multiplication operators on various real Banach spaces are balanced convex-cyclic.Also,it is shown for certain multiplication
operators that every nonempty closed invariant balanced convex-set is a closed invariant subspace.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
On Pressure of Asymptotically Sub-additive Potentials With Mistakes via Weighted Metrics
33
43
EN
Mehdi
Rahimi
University of Qom
Nahid
Bidabadi
University of Qom
In this paper, we use some bi-sequences of positive numbers to define weighted dynamical metrics. Then we show that, replacing the Bowen dynamical metric by the weighted metric, the definition of pressure for asymptotically sub-additive potentials, including measure-theoretic and topological, is not affected. This generalizes some known results for pressure, defined using mean metrics and continuous potentials.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
A survey on existence of a solution to fractional difference boundary value problem with $|u|^{p-2}u$ term
45
59
EN
Mohsen
Khaleghi Moghadam
Department of Basic Sciences
In this paper, we deal with the existence of a non-trivial
solution for the following fractional discrete boundary-value problem for any $k in [1,T]_{mathbb{N}_{0}}$
begin{equation*}
begin{cases}
_{T+1}nabla_k^{alpha}left( ^{}_knabla_{0}^{alpha}(u(k))right)+{^{}_knabla}_{0}^{alpha}left( ^{}_{T+1}nabla_k^{alpha}(u(k))right)+phi_{p}(u(k))=lambda f(k,u(k)),
u(0)= u(T+1)=0,
end{cases}
end{equation*}
where $0< alpha<1$ and $^{}_knabla_{0}^{alpha}$ is the left nabla discrete fractional difference and $^{}_{T+1}nabla_k^{alpha}$ is the right nabla discrete fractional difference $f: [1,T]_{mathbb{N}_{0}}timesmathbb{R}tomathbb{R}$ is
a continuous function, $lambda>0$ is a parameter and $phi _{p}$ is the so called $p$-Laplacian
operator defined as $phi _{p}(s)=|s|^{p-2}s$ and $1
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
Classification of 2-Dimensional Bryant-Type Metrics
61
68
EN
Akbar
Tayebi
University of Qom
Tahere Reza
Khoshdani
University of Mohaghegh Ardabili
The class of Bryant-type metrics is a natural extension of the class of 4-th root Finsler metrics which are used in Biology as ecological metrics. In this paper, we classify Bryant-type metrics admitting an $(alpha, beta)$-metric on a two-dimensional manifold and show that it contains two classes of non-Riemannian $(alpha, beta)$-metrics, specially Randers-type metrics. This might provide fine insights into a possible theory of deformations of Finsler norms.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
Numerical Solution of Fokker-Planck Equation Using the Least Squares Method with Satisfier Function
69
78
EN
Meysam
Noei Khorshidi
Department of Mathematics, Shahid Beheshti University,G.C., Tehran, Iran
Mohammad
Arab Firoozjaee
University of Science and Technology of Mazandaran,
In this article, we have solved the Fokker-Planck Equation(FPE) by numerical
method. For the approximate solution of this problem, we used of polynomial basis functions
and the least squares method. The least squares method together with the satisfier function is
used to transform the the FPE to the solution of equation systems. Also we debate the con-
vergence of the presented technique. Then we consider illustrative examples to represent the
applicability and validity of the this method.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
Continuous Riesz bases in Hilbert C*-modules
79
89
EN
Hadi
ghasemi
Hakim Sabzevari University
Tayebe
Lal Shateri
Hakim Sabzevari University
The paper is devoted to continuous frames and continuous Riesz basis in Hilbert C*-modules. We define a continuous Riesz basis in Hilbert C*-modules and investigate the relationship between a continuous Riesz basis and an L^2-independent Bessel mapping. Also, we show that a continuous frame is a continuous Riesz basis if and only if it is a Riesz-type frame. Finally, we give the relation between two continuous Riesz bases in Hilbert C*-modules.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
Maps completely preserving zero triple Jordan product of operators
91
95
EN
Roja
Hosseinzadeh
University of Mazandaran
Let $mathcal{A}$ and $mathcal{B}$ be two standard operator algebra on Banach spaces $mathcal{X}$ and $mathcal{Y}$, respectively. In this paper, we determine the forms of the surjective maps from $mathcal{A}$ onto $mathcal{B}$ such that completely preserve zero triple Jordan product in both directions.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
To numerical explore a fractional implicit $Q$-differential equations with Hilfer type and via nonlocal conditions
97
117
EN
Mohammad Esmael
Samei
Bu-Ali Sina University
Alireza
Hatami
Bu-Ali Sina University
This paper tries to show that there is only one solution for problem of fractional $q$-differential equations with Hilfer type, and it does so by using a particular method known as Schaefer's fixed point theorem and the Banach contraction principle. After that, we create a integral type of the problem for nonlocal condition. Next, we show that Ulam stability is true. The Gr"{o}wnwall rule for singular kernels of the equations helps to show our findings are correct. We confirm our findings by giving a few practical examples.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
Some new refinements of Hermite-Hadamard inequality via a sequence of mappings
119
130
EN
Nozar
Safaei
Department of Mathematics, Khorramabad Branch, Islamic Azad university, Khorramabad, Iran
In this paper we introduce a new sequence of mappings in connection to Hermite-Hadamard type inequality. Some bounds and refinements of Hermite-Hadamard inequality for convex functions via this sequence are given
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
On Fixed Point Results for Finite Families of Alpha-Hemicontractive Mappings, Variationa lnequality Problems and Split Equilibrium Problems
131
153
EN
Imo
Agwu
Michael Okpara University of Agriculture, Umudike, P. M. B. 7267, Abia State, Nigeria
Donatus
Igbokwe
Michael Okpara University of Agriculture, Umudike, P. M. B. 7267, Abia State, Nigerian
ln this paper, we introduce an iterative scheme for approximating a common element of the fixed point sets of a finite family of a multivalued -hemicontractive mappings, the set of solutions of a finite family of variational inequality problems and the set of solutions of a finite family of equilibrium problems. Using our scheme, we establish strong convergence theorems of the aforementioned problems in the framework of real Hilbert spaces. Our results improve, extend, generalise and unify many recent results in this direction.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
4
1
2023
6
1
Productivity Center & Son Using the Malmquist Global Index
155
162
EN
Esmaeil
Mombini
Department of Mathematics,Ramhormoz Branch,Islamic Azad University,Ramhormoz,IRAN
Data Envelopment Analysis (DEA) is a Nonparametric method for measuring of the performance of decision-making units (DMUs) - which do not need to have or compute a firm's production function, which is often difficult to calculate. In this article, we evaluate the units under review in terms of cost efficiency, and the units in terms of spending and production over several periods, and the rate of improvement or regression of each of these units. Considering the minimal use of resources and consuming less money, the improvement or retreat of the recipient's decision unit in terms of cost was examined by presenting a method based on solving linear programming models using the productivity index is Malmquist Global. Finally, by designing and solving a numerical example, we emphasize and test the applicability of the material presented in this article.