Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems
type: Item
instance of: scholarly article
title: Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems
zbMATH Open document ID: 1165.90026
author: L. Q. Anh
author: Phan Quoc Khanh
published in: Journal of Global Optimization
publication date: 2008-07-30T00:00:00Z
review text: The authors study various quasi-equilibrium problems involving set-valued maps in infinite dimensional spaces. They introduce some new kinds of continuity for set-valued maps and establish these properties for the solution sets, in particular Hausdorff upper and lower semicontinuity and continuity with respect to a partially ordering cone are also addressed.
reviewed by: Dinh The Luc
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 5306207
zbMATH Keywords: generalized vector quasi-equilibrium
zbMATH Keywords: upper and lower semicontinuities
zbMATH Keywords: Hausdorff continuity
MaRDI profile type: Publication
full work available at URL: s10898-007-9264-8
OpenAlex ID: W2166189459
cites work: Sensitivity analysis for abstract equilibrium problems
cites work: Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
cites work: On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems
cites work: On the stability of the solution sets of general multivalued vector quasiequilibrium problems
cites work: Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces
cites work: Q5325779
cites work: Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems
cites work: System of vector equilibrium problems and its applications
cites work: The system of generalized vector equilibrium problems with applications
cites work: A note on stability for parametric equilibrium problems.
cites work: Sensitivity for parametric vector equilibria
cites work: Equilibrium problems under generalized convexity and generalized monotonicity
cites work: Q4366516
cites work: On the symmetric vector quasi-equilibrium problems
cites work: Symmetric vector quasi-equilibrium problems
cites work: Existence of solutions to general quasiequilibrium problems and applications
cites work: The solution existence of general variational inclusion problems
cites work: Systems of set-valued quasivariational inclusion problems
cites work: Q5756892
cites work: Stability for parametric implicit vector equilibrium problems
cites work: Q4367585
cites work: New existence results for equilibrium problems
cites work: System of generalized vector quasi-equilibrium problems with applications to fixed point theorems for a family of nonexpansive multivalued mappings
cites work: Existence conditions in variational inclusions with constraints
cites work: Q4861239
cites work: On the existence of solutions of quasivariational inclusion problems
DOI: 10.1007/S10898-007-9264-8
description: scientific article; zbMATH DE number 5306207