Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems
type: Item
instance of: scholarly article
title: Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems
zbMATH Open document ID: 1070.65049
author: Xieping Ding
published in: Applied Mathematics and Computation
publication date: 2005-02-23T00:00:00Z
review text: The author considers a mixed type equilibrium problem which involves several mappings and bifunctions in a Hilbert space. An auxiliary problem principle based splitting type algorithm with inexact solutions of subproblems is suggested to solve this problem. It is strongly convergent under additional continuity and partially relaxed strong monotonicity assumptions. These results extend similar recent results which were obtained by several authors for less general problems.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 2137719
zbMATH Keywords: auxiliary problem principle
zbMATH Keywords: generalized mixed implicit equilibrium-like problem
zbMATH Keywords: predictor-corrector iterative algorithms
zbMATH Keywords: partially relaxed monotonicity
zbMATH Keywords: Hilbert space
zbMATH Keywords: algorithm
MaRDI profile type: Publication
full work available at URL: j.amc.2003.12.127
OpenAlex ID: W2012224123
cites work: Q4366516
cites work: Mixed equilibrium problems: sensitivity analysis and algorithmic aspect.
cites work: Q4865422
cites work: Vector variational inequalities and vector equilibria. Mathematical theories
cites work: Quasi-equilibrium problems in noncompact generalized convex spaces
cites work: Existence of solutions for quasi-equilibrium problems in noncompact topological spaces
cites work: Quasi-equilibrium problems with applications to infinite optimization and constrained games in general topological spaces
cites work: Some predictor-corrector algorithms for multivalued variational inequalities
cites work: A predictor-corrector algorithm for general variational inequalities
cites work: Solvability of multivalued general mixed variational inequalities.
cites work: Iterative methods for generalized variational inequalities
cites work: Mixed quasi variational inequalities.
cites work: Q4453535
cites work: Predictor--corrector iterative algorithms for solving generalized mixed variational-like inequalities
cites work: Multivalued general equilibrium problems.
cites work: New extragradient-type methods for general variational inequalities.
cites work: Pseudomonotone general mixed variational inequalities
cites work: Generalized variational inequalities
cites work: Prognostic-type iterative methods for calculation of fixed points of extremal mappings
cites work: Q3324260
cites work: Q3223417
DOI: 10.1016/J.AMC.2003.12.127
description: scientific article; zbMATH DE number 2137719