Extragradient algorithms extended to equilibrium problems

D Quoc Tran, M Le Dung, VH Nguyen - Optimization, 2008 - Taylor & Francis
We make use of the auxiliary problem principle to develop iterative algorithms for solving
equilibrium problems. The first one is an extension of the extragradient algorithm to …

A hybrid extragradient method extended to fixed point problems and equilibrium problems

PN Anh - Optimization, 2013 - Taylor & Francis
In this article, we present a new hybrid extragradient iteration method for finding a common
element of the set of fixed points of a nonexpansive map** and the set of solutions of …

An extragradient algorithm for solving bilevel pseudomonotone variational inequalities

PN Anh, JK Kim, LD Muu - Journal of Global Optimization, 2012 - Springer
We present an extragradient-type algorithm for solving bilevel pseudomonone variational
inequalities. The proposed algorithm uses simple projection sequences. Under mild …

Weak and strong convergence of a modified adaptive generalized Popov's algorithm for solving variational inequality problems

Y Wang, Y Gao, B Jiang - Optimization, 2024 - Taylor & Francis
In this paper, we introduce a modified adaptive step-size algorithm by basing a generalized
Popov's method to solve variational inequality problems in a real Hilbert space. The …

The subgradient extragradient method extended to equilibrium problems

PN Anh, LTH An - Optimization, 2015 - Taylor & Francis
A globally convergent algorithm for equilibrium problems with pseudomonotone bifunctions
is proposed. The algorithm is based on the idea of the subgradient extragradient method for …

On Nash–Cournot oligopolistic market equilibrium models with concave cost functions

LD Muu, VH Nguyen, NV Quy - Journal of Global Optimization, 2008 - Springer
Abstract We consider Nash–Cournot oligopolistic market equilibrium models with concave
cost functions. Concavity implies, in general, that a local equilibrium point is not necessarily …

[PDF][PDF] A hybrid extragradient method for pseudomonotone equilibrium problems and fixed point problems

PN Anh - Bull. Malays. Math. Sci. Soc, 2013 - kurims.kyoto-u.ac.jp
In this paper, we introduce a new hybrid extragradient iteration method for finding a common
element of the set of fixed points of a nonexpansive map** and the set of solutions of …

An Armijo-type method for pseudomonotone equilibrium problems and its applications

PN Anh, HA Le Thi - Journal of Global Optimization, 2013 - Springer
We present a new algorithm for solving equilibrium problems, where the underlying
bifunctions are pseudomonotone and not necessarily Lipschitz-type continuous. The …

New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces

S Wang, Y Zhang, P **, YJ Cho, H Guo - Filomat, 2019 - doiserbia.nb.rs
In the literature, the most authors modify the viscosity methods or hybrid projection methods
to construct the strong convergence algorithms for solving the pseudomonotone equilibrium …

[PDF][PDF] Strong convergence of an extended extragradient method for equilibrium problems and fixed point problems

JK Kim, PN Anh, YM Nam - Journal of the Korean Mathematical …, 2012 - researchgate.net
In this paper, we introduced a new extended extragradient iteration algorithm for finding a
common element of the set of fixed points of a nonexpansive map** and the set of …