Sensitivity analysis for set-valued equilibrium problems

DOI10.1007/s11117-020-00748-8zbMath1484.49031OpenAlexW3014212420MaRDI QIDQ830227

Ha Manh Linh, Nguyen Le Hoang Anh

Publication date: 7 May 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-020-00748-8

zbMATH Keywords

sensitivity analysisset-valued mapPareto minimumsecond-order contingent derivativeparametrized vector equilibrium problem

Mathematics Subject Classification ID

Derivative-free methods and methods using generalized derivatives (90C56) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vector quasi-equilibrium problems for the sum of two multivalued mappings
• Second-order differentiability of generalized perturbation maps
• Existence results for vector equilibrium problems given by a sum of two functions
• Vector equilibrium problems. Existence theorems and convexity of solution set
• Existence of solutions of strong vector equilibrium problems
• On proto-differentiability of generalized perturbation maps
• Generalized KKM-type theorems in GFC-spaces and applications
• On the existence of solutions to quasivariational inclusion problems
• Proto-differentiability of set-valued mappings and its applications in optimization
• Contingent derivative of the perturbation map in multiobjective optimization
• Vector variational inequalities and vector equilibria. Mathematical theories
• Second-order optimality conditions in set optimization
• Fan's inequality for set-valued maps.
• An existence result for the generalized vector equilibrium problem
• Higher-order sensitivity analysis in set-valued optimization under Henig efficiency
• On sensitivity analysis of parametric set-valued equilibrium problems under the weak efficiency
• Recession methods for generalized vector equilibrium problems
• Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
• First and second order optimality conditions in set optimization
• Convergence of an adaptive penalty scheme for finding constrained equilibria
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• On the existence of equilibrium points of vector functions
• Vector Variational Inequalities and Vector Optimization
• Set-valued analysis
• Existence and duality of generalized vector equilibrium problems

This page was built for publication: Sensitivity analysis for set-valued equilibrium problems