Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems
type: Item
instance of: scholarly article
title: Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems
zbMATH Open document ID: 1406.49013
author: L. Q. Anh
author: Thanatporn Bantaojai
author: Nguyen Van Hung
author: Vo Minh Tam
author: Rabian Wangkeeree
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
review text: The paper provides necessary and sufficient conditions for the Painleve-Kuratowski convergence of solutions sets for vector quasi-equilibrium problems that are perturbed in terms of sequences. As an application of the theoretical results, the authors consider quasi-variational inequalities.
reviewed by: Vanja Nikolić
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 91B50
zbMATH DE Number: 6973292
zbMATH Keywords: quasi-equilibrium problems
zbMATH Keywords: quasi-variational inequalities
zbMATH Keywords: gap function
zbMATH Keywords: Painlevé-Kuratowski convergence
zbMATH Keywords: nonlinear scalarization
MaRDI profile type: Publication
full work available at URL: s40314-017-0548-4
OpenAlex ID: W2772106587
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: Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems
cites work: Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces
cites work: Continuity of solution maps of parametric quasiequilibrium problems
cites work: Stability of solution mappings for parametric bilevel vector equilibrium problems
cites work: Gap functions and Hausdorff continuity of solution mappings to parametric strong vector quasiequilibrium problems
cites work: Q3782303
cites work: Generalized monotone bifunctions and equilibrium problems
cites work: Vector equilibrium problems with generalized monotone bifunctions
cites work: A note on stability for parametric equilibrium problems.
cites work: Sensitivity for parametric vector equilibria
cites work: On a generalized proximal point method for solving equilibrium problems in Banach spaces
cites work: Existence results for nonconvex equilibrium problems
cites work: On the solution semicontinuity to a parametric generalized vector quasivariational inequality
cites work: Semicontinuity of the solution set map to a set-valued weak vector variational inequality
cites work: On the existence and stability of approximate solutions of perturbed vector equilibrium problems
cites work: Painlevé-Kuratowski convergences of the solution sets to perturbed generalized systems
cites work: Painlevé-Kuratowski convergences for the solution sets of set-valued weak vector variational inequalities
cites work: Q3340523
cites work: Existence of solutions to general quasiequilibrium problems and applications
cites work: On the existence of solutions to quasivariational inclusion problems
cites work: Stability of a solution set for parametric generalized vector mixed quasivariational inequality problem
cites work: ON THE LOWER SEMICONTINUITY OF THE SOLUTION SETS FOR PARAMETRIC GENERALIZED VECTOR MIXED QUASIVARIATIONAL INEQUALITY PROBLEMS
cites work: On the lower semicontinuity of optimal solution sets
cites work: Invariant-point theorems and existence of solutions to optimization-related problems
cites work: Stability and scalarization in vector optimization using improvement sets
cites work: Stability of parametric quasivariational inequality of the Minty type
cites work: Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
cites work: Stability of weak vector variational inequality
cites work: Stability of approximate solution mappings for generalized Ky Fan inequality
cites work: Convergence Results for Henig Proper Efficient Solution Sets of Vector Optimization Problems
cites work: Generalized variational inequalities with pseudomonotone operators under perturbations
cites work: Gap functions for equilibrium problems
cites work: Convergence of an adaptive penalty scheme for finding constrained equilibria
cites work: On the stability of solutions for semi-infinite vector optimization problems
cites work: Painlevé-Kuratowski convergences of the solution sets for perturbed vector equilibrium problems without monotonicity
cites work: Variational Analysis
cites work: Existence of solutions of generalized vector equilibrium problems in reflexive Banach spaces
cites work: A new class of hybrid extragradient algorithms for solving quasi-equilibrium problems
cites work: Continuous convergence in partially ordered sets
cites work: The lower semicontinuity of optimal solution sets
cites work: Q5498985
cites work: Semicontinuity and convergence for vector optimization problems with approximate equilibrium constraints
cites work: On the stability of solution mapping for parametric generalized vector quasiequilibrium problems
DOI: 10.1007/S40314-017-0548-4
description: scientific article; zbMATH DE number 6973292