Results 71 to 80 of about 115 (92)

Convergence Analysis of Self-Adaptive Inertial Extra-Gradient Method for Solving a Family of Pseudomonotone Equilibrium Problems with Application

Symmetry, 2020
In this article, we propose a new modified extragradient-like method to solve pseudomonotone equilibrium problems in real Hilbert space with a Lipschitz-type condition on a bifunction.
Nuttapol Pakkaranang, Habib Ur Rehman, Poom Kumam   +2 more
exaly   +2 more sources

Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem

Symmetry, 2020
In this paper, we propose a new method, which is set up by incorporating an inertial step with the extragradient method for solving a strongly pseudomonotone equilibrium problems.
Habib Ur Rehman, Poom Kumam, Ioannis K Argyros   +2 more
exaly   +2 more sources

An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces

Computational and Applied Mathematics
In this work, we propose an inertial extragradient method for solving strongly pseudomonotone equilibrium problems utilizing a novel self-adaptive stepsize approach.
Phan Tu Vuong, Thong Duong Viet
exaly   +2 more sources

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Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions

Journal of Optimization Theory and Applications, 2004
By using quasimonotone and pseudomonotone bifunctions, we derive sufficient conditions which include weak coercivity conditions for existence of equilibrium points. As a consequence, we improve some recent results on the existence of such solutions.
M. Fakhar, J. Zafarani
openaire   +1 more source

Vector variational inequalities with cone-pseudomonotone bifunctions

Optimization, 2005
In this article, two types of cone-pseudomonotone bifunctions have been introduced and the weaker form of pseudomonotonicity is used to establish an existence theorem for a Stampacchia-kind vector variational inequality problem given in terms of bifunctions.
C. S. Lalitha, Monika Mehta
openaire   +1 more source

The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions

Nonlinear Analysis: Theory, Methods & Applications, 2011
The authors extend Tikhonov regularization to monotone equilibrium problems and pseudomonotone equilibrium problems. The conclusions are applied to multivalued pseudomonotone variational inequalities.
Pham Gia Hung, Le Dung Muu
openaire   +2 more sources

A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces

Calcolo, 2019
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Raeisi, M., Eskandani, Gholamreza Zamani
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Generalized quasimonotonicity and strong pseudomonotonicity of bifunctions

Optimization, 1996
We extend some recent definitions of generalized monotonicity of maps such as strong pseudomonotonicity and (semi) strict quasimonotonicity, to real bifunctions h(x,d). Under a suitable continuity assumption on a function f we show that (semi) strict quasimonotonicity of the Dini derivatives D +(x,d) and D +(x,d) is equivalent to (semi) strict ...
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Comments on the Solutions Set of Equilibrium Problems Governed by Topological Pseudomonotone Bifunctions

2022
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A modified self‐adaptive extragradient method for pseudomonotone equilibrium problem in a real Hilbert space with applications

Mathematical Methods in the Applied Sciences, 2021
Habib Ur Rehman, Poom Kumam, Qiao-Li Dong   +2 more
exaly