Existence and solution methods for equilibria

G Bigi, M Castellani, M Pappalardo… - European Journal of …, 2013 - Elsevier
Equilibrium problems provide a mathematical framework which includes optimization,
variational inequalities, fixed-point and saddle point problems, and noncooperative games …

[图书][B] Variational methods in partially ordered spaces

A Göpfert, H Riahi, C Tammer, C Zalinescu - 2003 - Springer
CMS/CAIMS Books in Mathematics is a collection of monographs and graduatelevel
textbooks published in cooperation jointly with the Canadian Mathematical Society-Societé …

[HTML][HTML] A hybrid iterative scheme for mixed equilibrium problems and fixed point problems

LC Ceng, JC Yao - Journal of Computational and Applied Mathematics, 2008 - Elsevier
The purpose of this paper is to investigate the problem of finding a common element of the
set of solutions of a mixed equilibrium problem (MEP) and the set of common fixed points of …

[图书][B] Nonlinear programming techniques for equilibria

G Bigi, M Castellani, M Pappalardo, M Passacantando - 2019 - Springer
In science, the term “equilibrium” has been widely used in physics, chemistry, biology,
engineering, and economics, among others, within different frameworks. It generally refers to …

Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems

Y Yao, YJ Cho, YC Liou - European Journal of Operational Research, 2011 - Elsevier
In this paper, we present an iterative algorithm for finding a common element of the set of
solutions of a mixed equilibrium problem and the set of fixed points of an infinite family of …

The subgradient extragradient method for pseudomonotone equilibrium problems

V Dadashi, OS Iyiola, Y Shehu - Optimization, 2020 - Taylor & Francis
In this paper, an improvement of the extragradient algorithm is considered for finding a
solution of pseudo-monotone equilibrium problems in real Hilbert spaces. We replace the …

Mixed equilibrium problems and optimization problems

Y Yao, MA Noor, S Zainab, YC Liou - Journal of Mathematical Analysis and …, 2009 - Elsevier
In this paper, we introduce and analyze a new hybrid iterative algorithm for finding a
common element of the set of solutions of mixed equilibrium problems and the set of fixed …

Gap functions for quasi-equilibria

G Bigi, M Passacantando - Journal of Global Optimization, 2016 - Springer
An approach for solving quasi-equilibrium problems (QEPs) is proposed relying on gap
functions, which allow reformulating QEPs as global optimization problems. The …

Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems

LQ Anh, N Van Hung, VM Tam - Computational and Applied Mathematics, 2018 - Springer
In this paper, we consider generalized mixed strong vector quasiequilibrium problems in
infinite-dimensional spaces. Using the nonlinear scalarization method, we first propose gap …

Descent and penalization techniques for equilibrium problems with nonlinear constraints

G Bigi, M Passacantando - Journal of Optimization Theory and …, 2015 - Springer
This paper deals with equilibrium problems with nonlinear constraints. Exploiting a gap
function which relies on a polyhedral approximation of the feasible region, we propose two …