On Lipschitz continuity of solutions to equilibrium problems via the Hiriart-Urruty oriented distance function
type: Item
instance of: scholarly article
title: On Lipschitz continuity of solutions to equilibrium problems via the Hiriart-Urruty oriented distance function
zbMATH Open document ID: 1499.49077
author: L. Q. Anh
author: Pham Thanh Duoc
author: Nguyen Minh Tung
published in: Computational and Applied Mathematics
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 91B50
zbMATH DE Number: 7490225
zbMATH Keywords: equilibrium problem
zbMATH Keywords: network equilibrium problem
zbMATH Keywords: nonlinear scalarization function
zbMATH Keywords: Lipschitz continuity
zbMATH Keywords: Hiriart-Urruty oriented distance function
MaRDI profile type: Publication
full work available at URL: s40314-022-01758-w
OpenAlex ID: W4207032736
cites work: Q3382980
cites work: On Hölder continuity of approximate solutions to parametric equilibrium problems
cites work: Continuity of approximate solution maps to vector equilibrium problems
cites work: On Hölder continuity of approximate solution maps to vector equilibrium problems
cites work: Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems
cites work: Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems
cites work: On Lipschitz continuity of approximate solutions to set-valued equilibrium problems via nonlinear scalarization
cites work: Existence Of Nearest Points In Banach Spaces
cites work: Hölder continuity results for nonconvex parametric generalized vector quasiequilibrium problems via nonlinear scalarizing functions
cites work: Characterizations of set order relations and constrained set optimization problems via oriented distance function
cites work: First-order optimality conditions in set-valued optimization
cites work: Entropy optimization and mathematical programming
cites work: On generalized quasi-vector equilibrium problems via scalarization method
cites work: Q3340523
cites work: Scalarization in set optimization with solid and nonsolid ordering cones
cites work: A note on existence of weak efficient solutions for vector equilibrium problems
cites work: A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization
cites work: Lipschitz continuity of approximate solution mappings to parametric generalized vector equilibrium problems
cites work: Nonlinear scalarizing functions in set optimization problems
cites work: Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
cites work: Optimality conditions for vector equilibrium problems with applications
cites work: Existence results for -quasimonotone equilibrium problems in convex metric spaces
cites work: Q4992445
cites work: Six set scalarizations based on the oriented distance: properties and application to set optimization
cites work: Equilibrium problems and applications
cites work: Set-valued Optimization
cites work: Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization
cites work: Convexity for set-valued maps
cites work: Q4252562
cites work: Scalarizations for a set optimization problem using generalized oriented distance function
cites work: Lipschitz continuity of an approximate solution mapping to equilibrium problems
cites work: On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality
cites work: Q4613645
cites work: Variational Analysis
cites work: Existence of solutions of generalized vector equilibrium problems in reflexive Banach spaces
cites work: Lipschitz continuity of an approximate solution mapping for parametric set-valued vector equilibrium problems
cites work: Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
DOI: 10.1007/S40314-022-01758-W
description: scientific article; zbMATH DE number 7490225