Results 61 to 70 of about 249 (86)

A critical view on invexity [PDF]

, 2012
The aim of this note is to emphasize the fact that in many papers on invexity published in prestigious journals there are not clear definitions, trivial or not clear statements and wrong proofs.
Zalinescu, Constantin
core  

A new inertial condition on the subgradient extragradient method for solving pseudomonotone equilibrium problem

, 2023
In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space. Our
Izuchukwu, Chinedu, Ogwo, Grace, Zinsou, Bertin   +2 more
core  

Convergence of Adaptive Algorithms for Equilibrium Problems in Hadamard Spaces

Journal of Optimization, Differential Equations and Their Applications
In this paper, we consider the equilibrium problems under the setting of Hadamard spaces. For an approximate solution of equilibrium problems, iterative adaptive two-stage proximal algorithms are proposed and studied.
Serhii V. Denysov, Oleksandra Yu. Kovalenko, Vladimir V. Semenov   +2 more
doaj   +1 more source

Method for Approximating Solutions to Equilibrium Problems and Fixed-Point Problems without Some Condition Using Extragradient Algorithm

Axioms
The objective of this research is to present a novel approach to enhance the extragradient algorithm’s efficiency for finding an element within a set of fixed points of nonexpansive mapping and the set of solutions for equilibrium problems. Specifically,
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

Hybrid Proximal Methods for Equilibrium Problems [PDF]

, 2009
This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality ...
Mordukhovich, Boris S, Panicucci, Barbara, Pappalardo, Massimo, Passacantando, Mauro   +3 more
core   +1 more source

FINITE CONVERGENCE OF THE PROXIMAL POINT METHOD FOR SOLVING EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

Tạp chí Khoa học
In this paper, we prove the finite convergence of sequences generated by (inexact and exact) proximal point methods for solving pseudomonotone equilibrium problems on Hadamard manifolds under the linear conditioning of the solution set.
Nguyen Thi Thu
doaj   +1 more source

Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps

Cubo, 2010
In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma.
A.P Farajzadeh, A Amini-Harandi, D O'Regan, R.P Agarwal   +3 more
doaj  

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +1 more source

Strong vector variational like inequality problems with properly quasimonotone bifunctions [PDF]

, 2014
Mamta Chaudhary, Monika Mehta
core   +1 more source

Weak and strong convergence of hybrid subgradient method for pseudomonotone equilibrium problem and multivalued nonexpansive mappings [PDF]

, 2014

core   +1 more source