Lower semicontinuity of approximate solution mappings for a parametric generalized strong vector equilibrium problem

DOI10.2298/FIL1906641WzbMath1499.90255OpenAlexW3003872203MaRDI QIDQ5080788

Liu He, Xiao-bing Li, Qi-Lin Wang

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1906641w

zbMATH Keywords

approximate solution mappingsparametric generalized strong vector equilibrium problemslower semicon 91B50inuity

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• Lipschitz continuity of an approximate solution mapping to equilibrium problems
• Vector equilibrium problems. Existence theorems and convexity of solution set
• Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
• Lower semicontinuity of the solution mappings to a parametric generalized Ky Fan inequality
• Continuity of approximate solution mappings for parametric equilibrium problems
• Some characterizations of the approximate solutions to generalized vector equilibrium problems
• Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems
• Lower semicontinuity of the set of efficient solutions for generalized systems
• Lower semicontinuity and upper semicontinuity of the solution sets and approximate solution sets of parametric multivalued quasivariational inequalities
• Sensitivity analysis of vector equilibrium problems
• Continuity of the solution set to parametric weak vector equilibrium problems
• Semicontinuity of solution mappings of parametric generalized strong vector equilibrium problems
• Stability of weak vector variational inequality
• Semicontinuity of solution mappings of parametric generalized vector equilibrium problems
• Sensitivity analysis of solution mappings of parametric generalized quasi vector equilibrium problems
• Solution semicontinuity of parametric generalized vector equilibrium problems
• Existence of equilibria for monotone multivalued mappings
• Generalized vector quasi-equilibrium problems.
• Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems
• Vector variational inequalities and vector equilibria. Mathematical theories
• Generalized vector equilibrium problems with trifunctions
• A note on the lower semicontinuity of efficient solutions for parametric vector equilibrium problems
• Continuity of the solution mappings to parametric generalized strong vector equilibrium problems
• Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems
• Continuity of the solution mappings to parametric generalized vector equilibrium problems
• Continuity of the solution mapping to parametric generalized vector equilibrium problems
• Lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem
• On the stability of the solution sets of general multivalued vector quasiequilibrium problems
• Semicontinuity of the solution set map to a set-valued weak vector variational inequality
• Stability for parametric implicit vector equilibrium problems
• Global stability results for the weak vector variational inequality
• Stability and Sensitivity Analysis in Convex Vector Optimization
• On the lower semicontinuity of optimal solution sets
• Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems