Results 31 to 40 of about 115 (92)

A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems

Fixed Point Theory and Applications, 2020
In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
doaj   +1 more source

Approximations of an Equilibrium Problem without Prior Knowledge of Lipschitz Constants in Hilbert Spaces with Applications

Axioms, 2021
The objective of this paper is to introduce an iterative method with the addition of an inertial term to solve equilibrium problems in a real Hilbert space.
Chainarong Khanpanuk, Nuttapol Pakkaranang, Nopparat Wairojjana, Nattawut Pholasa   +3 more
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

Fixed 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

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

, 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

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

Axioms, 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

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

International 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, Mohammad Firdosh Khan, Julien Salomon   +2 more
wiley   +1 more source

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

Demonstratio 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, Pakkaranang Nuttapol, Pholasa Nattawut   +2 more
doaj   +1 more source

A Wiener‐Hopf Dynamical System for Mixed Equilibrium Problems

International 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, S. K. Srivastava, Suhel Ahmad Khan, Nawab Hussain   +3 more
wiley   +1 more source

Closedness of the solution map in quasivariational inequalities of Ky Fan type [PDF]

, 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

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

Demonstratio 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, Rehman Habib ur, Kumam Wiyada   +2 more
doaj   +1 more source