Results 51 to 60 of about 115 (92)

Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces

Fixed Point Theory and Applications, 2018
In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie, Rabian Wangkeeree   +1 more
doaj   +1 more source

A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces

Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
We introduce the new iterative methods for finding a common solution set of monotone, Lipschitz‐type continuous equilibrium problems and the set of fixed point of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Hilbert space.
Rabian Wangkeeree, Pakkapon Preechasilp, Zhenyu Huang   +2 more
wiley   +1 more source

Variational‐Like Inequalities and Equilibrium Problems with Generalized Monotonicity in Banach Spaces

Advances in Operations Research, Volume 2012, Issue 1, 2012., 2012
We introduce the notion of relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings, which is weaker than invariant pseudomonotone maps. Using the KKM technique, we establish the existence of solutions for variational‐like inequality problems with relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings in reflexive Banach spaces. We also introduce the concept of (ρ‐
N. K. Mahato, C. Nahak, Abdellah Bnouhachem   +2 more
wiley   +1 more source

A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems

, 2020
The main objective of this article is to propose a new method that would extend Popov’s extragradient method by changing two natural projections with two convex optimization problems.
Ioannis K. Argyros, Wiyada Kumam, Nasser Aedh Alreshidi, Wachirapong Jirakitpuwapat, Poom Kumam, Habib ur Rehman   +5 more
core   +1 more source

Closedness of the solution map in quasivariational inequalities of Ky Fan type

, 2013
This paper is mainly concerned with the stability analysis of the set-valued solution mapping for a parametric quasivariational inequality of Ky Fan type.
GIULI, MASSIMILIANO
core   +1 more source

Vector Equilibrium Problems with Generalized Monotone Bifunctions

, 1997
A vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locally convex vector space, find x*∈K such that F(x*, y)
Bianchi M.
core   +1 more source

An inertial viscosity algorithm for equilibrium problems with application to signal restoration

Journal of Inequalities and Applications
In this article, we propose an improved viscosity algorithm for solving pseudomonotone equilibrium problems. A strong convergence theorem is established under certain conditions on the bifunction, along with suitable assumptions on the initial parameters
Sujitha Pushparaj, Nathiya N, Pulak Konar   +2 more
doaj   +1 more source

Adaptive algorithms for equilibrium problems in Hadamard spaces

, 2020
Одним із популярних напрямів сучасного прикладного нелінійного аналізу є дослідження задач про рівновагу (нерівностей Кі Фаня, задач рівноважного програмування).
Семенов, В.В., Ведель, Я.І.   +1 more
core   +1 more source

Method for Approximating Solutions to Equilibrium Problems and Fixed-Point Problems without Some Condition Using Extragradient Algorithm

Axioms
The objective of this research is to present a novel approach to enhance the extragradient algorithm’s efficiency for finding an element within a set of fixed points of nonexpansive mapping and the set of solutions for equilibrium problems. Specifically,
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

Pseudomonotone diagonal subdifferential operators

, 2013
Let f be an equilibrium bifunction defined on the product space X x X, where X is a Banach space. If f is locally Lipschitz with respect to the second variable, for every x in X we define T_f(x) as the Clarke subdifferential of f(x,\\cdot) evaluated at x.
GIULI, MASSIMILIANO, CASTELLANI, MARCO
core