Results 31 to 40 of about 115 (92)

Inertial Iterative Self-Adaptive Step Size Extragradient-Like Method for Solving Equilibrium Problems in Real Hilbert Space with Applications

open access: yesAxioms, 2020
A number of applications from mathematical programmings, such as minimization problems, variational inequality problems and fixed point problems, can be written as equilibrium problems.
Wiyada Kumam, Kanikar Muangchoo
doaj   +1 more source

From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2022
This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valued equilibrium problems with general, then ...
Joachim Gwinner
doaj   +1 more source

Variational‐Like Inequalities for Weakly Relaxed η‐α Pseudomonotone Set‐Valued Mappings in Banach Space

open access: yesInternational Journal of Analysis, Volume 2016, Issue 1, 2016., 2016
We introduce and study variational‐like inequalities for generalized pseudomonotone set‐valued mappings in Banach spaces. By using KKM technique, we obtain the existence of solutions for variational‐like inequalities for generalized pseudomonotone set‐valued mappings in reflexive Banach spaces.
Syed Shakaib Irfan   +2 more
wiley   +1 more source

On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

open access: yesDemonstratio Mathematica, 2022
The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Khunpanuk Chainarong   +2 more
doaj   +1 more source

A Wiener‐Hopf Dynamical System for Mixed Equilibrium Problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014
We suggest and analyze dynamical systems associated with mixed equilibrium problems by using the resolvent operator technique. We show that these systems have globally asymptotic property. The concepts and results presented in this paper extend and unify a number of previously known corresponding concepts and results in the literature.
Farhat Suhel   +3 more
wiley   +1 more source

Two strongly convergent self-adaptive iterative schemes for solving pseudo-monotone equilibrium problems with applications

open access: yesDemonstratio Mathematica, 2021
The aim of this paper is to propose two new modified extragradient methods to solve the pseudo-monotone equilibrium problem in a real Hilbert space with the Lipschitz-type condition.
Pakkaranang Nuttapol   +2 more
doaj   +1 more source

A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings

open access: yesJournal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition
Ekkarath Thailert   +3 more
wiley   +1 more source

On Strengthened Extragradient Methods Non-Convex Combination with Adaptive Step Sizes Rule for Equilibrium Problems

open access: yes, 2022
Symmetries play a vital role in the study of physical phenomena in diverse areas such as dynamic systems, optimization, physics, scientific computing, engineering, mathematical biology, chemistry, and medicine, to mention a few.
Wiyada Kumam   +3 more
core   +1 more source

An iterative scheme for split equality equilibrium problems and split equality hierarchical fixed point problem

open access: yesAdvances in Difference Equations, 2021
This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
doaj   +1 more source

On η‐Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium‐Like Problems

open access: yesAbstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We first introduce the notion of η‐upper sign property which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium problem) and equilibrium problem for mappings whose ...
Ali Farajzadeh   +3 more
wiley   +1 more source

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