On vector quasi-equilibrium problems via a Browder-type fixed-point theorem
type: Item
instance of: scholarly article
title: On vector quasi-equilibrium problems via a Browder-type fixed-point theorem
zbMATH Open document ID: 1503.49019
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2022-12-01T00:00:00Z
review text: In this paper, new sufficient conditions for the existence of solutions to a vector quasi-equilibrium problem with set-valued mappings are provided. Using a Browder-type fixed-point theorem, which allows the author to relax the common lower semicontinuity assumptions, the results improve some theorems from the literature.
reviewed by: Radu I. Boţ
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 7625535
zbMATH Keywords: fixed-point theorem
zbMATH Keywords: transfer open valued
zbMATH Keywords: upper C-mapping
zbMATH Keywords: vector quasi-equilibrium problems
zbMATH Keywords: C-lower semicontinuous set-valued mapping
author: Adela Capătă
MaRDI profile type: Publication
full work available at URL: s40840-022-01397-8
OpenAlex ID: W4309896350
cites work: Q5386174
cites work: Generalized vector quasi-equilibrium problems with applications
cites work: Recession methods for generalized vector equilibrium problems
cites work: A generalization of vectorial equilibria
cites work: Existence of a solution and variational principles for vector equilibrium problems
cites work: Characterizations of solutions for vector equilibrium problems
cites work: Q5314954
cites work: Vector Variational Inequalities and Vector Optimization
cites work: Vector equilibrium problems with generalized monotone bifunctions
cites work: Existence results for strong vector equilibrium problems and their applications
cites work: Q4366516
cites work: Multivalued convexity and optimization: A unified approach to inequality and equality constraints
cites work: The fixed point theory of multi-valued mappings in topological vector spaces
cites work: Existence results for globally efficient solutions of vector equilibrium problems via a generalized KKM principle
cites work: On Weak Multifunction Equilibrium Problems
cites work: On vector equilibrium problems and applications
cites work: Existence theorems for generalized vector variational inequalities with pseudomonotonicity and their applications
cites work: Equilibrium problems with applications to eigenvalue problems
cites work: Regularized equilibrium problems with application to noncoercive hemivariational inequalities.
cites work: Applications of equilibrium problems to a class of noncoercive variational inequalities
cites work: Remarks on generalized quasi-equilibrium problems
cites work: Vector parametric quasi-equilibrium problems for the sum of two set-valued mappings
cites work: Q4057217
cites work: Vector equilibrium problems. Existence theorems and convexity of solution set
cites work: Connectedness of the set of efficient solutions for generalized systems
cites work: Lower semicontinuity of the set of efficient solutions for generalized systems
cites work: Vector quasi-equilibrium problems for the sum of two multivalued mappings
cites work: On some equilibrium problems for multimaps
cites work: Existence of equilibria for multivalued mappings and its application to vectorial equilibria
cites work: Browder type fixed point theorems and Nash equilibria in generalized games
cites work: Existence results for a class of variational quasi-mixed hemivariational-like inequalities
cites work: Q4115720
cites work: Convergence of an adaptive penalty scheme for finding constrained equilibria
cites work: Existence of solutions for systems of generalized quasi‐equilibrium problems
cites work: Q4762236
cites work: Q3776120
cites work: Nonlinear functional analysis. Fixed point theory and its applications
cites work: Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
cites work: Strong vector equilibrium problems on noncompact sets
cites work: A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
DOI: 10.1007/S40840-022-01397-8
description: scientific article; zbMATH DE number 7625535