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 …
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 …
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
We present an extragradient-type algorithm for solving bilevel pseudomonone variational
inequalities. The proposed algorithm uses simple projection sequences. Under mild …
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 …
Popov's method to solve variational inequality problems in a real Hilbert space. The …
The subgradient extragradient method extended to equilibrium problems
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 …
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 …
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 …
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
We present a new algorithm for solving equilibrium problems, where the underlying
bifunctions are pseudomonotone and not necessarily Lipschitz-type continuous. The …
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 …
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
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 …
common element of the set of fixed points of a nonexpansive map** and the set of …