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 …

Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space

LO Jolaoso, TO Alakoya, A Taiwo, OT Mewomo - Optimization, 2021 - Taylor & Francis
In this paper, we propose a new viscosity type inertial extragradient method with Armijo line-
search technique for approximating a common solution of equilibrium problem with pseudo …

[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 …

[HTML][HTML] An inexact subgradient algorithm for equilibrium problems

P Santos, S Scheimberg - Computational & Applied Mathematics, 2011 - SciELO Brasil
SciELO - Brasil - An inexact subgradient algorithm for Equilibrium Problems An inexact
subgradient algorithm for Equilibrium Problems Acessibilidade / Reportar erro Brasil Lista …

Dual extragradient algorithms extended to equilibrium problems

TD Quoc, PN Anh, LD Muu - Journal of Global Optimization, 2012 - Springer
In this paper we propose two iterative schemes for solving equilibrium problems which are
called dual extragradient algorithms. In contrast with the primal extragradient methods in …

An inertial-like proximal algorithm for equilibrium problems

D Van Hieu - Mathematical Methods of Operations Research, 2018 - Springer
The paper concerns with an inertial-like algorithm for approximating solutions of equilibrium
problems in Hilbert spaces. The algorithm is a combination around the relaxed proximal …

Extragradient subgradient methods for solving bilevel equilibrium problems

T Yuying, BV Dinh, DS Kim, S Plubtieng - Journal of Inequalities and …, 2018 - Springer
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium
problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions …

Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems

D Van Hieu - Numerical Algorithms, 2018 - Springer
The paper introduces and analyzes the convergence of a new iterative algorithm for
approximating solutions of equilibrium problems involving strongly pseudomonotone and …

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 …

A class of shrinking projection extragradient methods for solving non-monotone equilibrium problems in Hilbert spaces

JJ Strodiot, PT Vuong, TTV Nguyen - Journal of Global Optimization, 2016 - Springer
A new class of extragradient-type methods is introduced for solving an equilibrium problem
in a real Hilbert space without any monotonicity assumption on the equilibrium function. The …