Sensitivity analysis for set-valued equilibrium problems
type: Item
instance of: scholarly article
title: Sensitivity analysis for set-valued equilibrium problems
zbMATH Open document ID: 1484.49031
author: Nguyen Le Hoang Anh
author: Ha Manh Linh
published in: Positivity
publication date: 2021-05-07T00:00:00Z
review text: The authors consider a parametrized vector equilibrium problem involving the sum of two set-valued maps, which can be seen as a unifying model for several classes of problems in variational analysis and optimization. They carry out a sensitivity analysis for this equilibrium problem in terms of the second-order contingent derivatives of the two maps.
reviewed by: Radu I. Boţ
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 90C56
Mathematics Subject Classification ID: 28B20
zbMATH DE Number: 7345602
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: parametrized vector equilibrium problem
zbMATH Keywords: Pareto minimum
zbMATH Keywords: set-valued map
zbMATH Keywords: second-order contingent derivative
MaRDI profile type: Publication
full work available at URL: s11117-020-00748-8
OpenAlex ID: W3014212420
cites work: Existence of solutions of strong vector equilibrium problems
cites work: Recession methods for generalized vector equilibrium problems
cites work: Vector Variational Inequalities and Vector Optimization
cites work: Q4801804
cites work: Existence and duality of generalized vector equilibrium problems
cites work: An existence result for the generalized vector equilibrium problem
cites work: Q4613637
cites work: On sensitivity analysis of parametric set-valued equilibrium problems under the weak efficiency
cites work: Set-valued analysis
cites work: Q4366516
cites work: Q4262069
cites work: Q4057217
cites work: Vector equilibrium problems. Existence theorems and convexity of solution set
cites work: Fan's inequality for set-valued maps.
cites work: Vector variational inequalities and vector equilibria. Mathematical theories
cites work: On the existence of solutions to quasivariational inclusion problems
cites work: Second-order optimality conditions in set optimization
cites work: First and second order optimality conditions in set optimization
cites work: Existence results for vector equilibrium problems given by a sum of two functions
cites work: Vector quasi-equilibrium problems for the sum of two multivalued mappings
cites work: Generalized KKM-type theorems in GFC-spaces and applications
cites work: On proto-differentiability of generalized perturbation maps
cites work: Second-order differentiability of generalized perturbation maps
cites work: Convergence of an adaptive penalty scheme for finding constrained equilibria
cites work: Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
cites work: Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
cites work: Proto-differentiability of set-valued mappings and its applications in optimization
cites work: Contingent derivative of the perturbation map in multiobjective optimization
cites work: On the existence of equilibrium points of vector functions
cites work: Higher-order sensitivity analysis in set-valued optimization under Henig efficiency
DOI: 10.1007/S11117-020-00748-8
description: scientific article; zbMATH DE number 7345602