LOWER SEMICONTINUITY OF PARAMETRIC GENERALIZED WEAK VECTOR EQUILIBRIUM PROBLEMS

DOI10.1017/S0004972709000628zbMath1183.49016OpenAlexW2158451943MaRDI QIDQ5187723

Chun-Rong Chen, Huimin Liu, Sheng Jie Li

Publication date: 1 March 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972709000628

zbMATH Keywords

lower semicontinuityscalarizationsolution mappingsparametric generalized weak vector equilibrium problems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (23)

Stability analysis for set-valued equilibrium problems with applications to Browder variational inclusions ⋮ Continuity of the solution mappings to parametric generalized non-weak vector Ky Fan inequalities ⋮ Lower Semicontinuity Results in Parametric Multivalued Weak Vector Equilibrium Problems and Applications ⋮ Continuity of the solution mapping to parametric generalized vector equilibrium problems ⋮ New scalarizing approach to the stability analysis in parametric generalized Ky Fan inequality problems ⋮ Continuity of solution mappings for parametric generalized set-valued weak vector equilibrium problems ⋮ On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem ⋮ Continuity of approximate solution maps to vector equilibrium problems ⋮ Continuity of solution mappings in some parametric non-weak vector Ky Fan inequalities ⋮ Lower semicontinuity of the solution mappings to a parametric generalized Ky Fan inequality ⋮ New nonlinear scalarization functions and applications ⋮ Error analysis of approximate solutions to parametric vector quasiequilibrium problems ⋮ On the lower semicontinuity of the solution mappings to parametric weak generalized Ky Fan inequality ⋮ Hölder continuity of solution maps to parametric set-valued Ky Fan inequalities ⋮ Continuity of the solution mappings to parametric generalized strong vector equilibrium problems ⋮ Lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem ⋮ On the stability of approximate solutions to set-valued equilibrium problems ⋮ Semicontinuity of the solution mapping to a parametric generalized weak Ky Fan inequality ⋮ Continuity of approximate solution maps of primal and dual vector equilibrium problems ⋮ Semicontinuity of the solution mappings to weak generalized parametric Ky Fan inequality problems with trifunctions ⋮ Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem ⋮ Stability property in bifunction-set optimization ⋮ Strong vector equilibrium problems with LSC approximate solution mappings

Cites Work

• Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
• On the stability of generalized vector quasivariational inequality problems
• Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems
• Lower semicontinuity of the set of efficient solutions for generalized systems
• Continuity of the solution set to parametric weak vector equilibrium problems
• Stability of weak vector variational inequality
• Semicontinuity of solution mappings of parametric generalized vector equilibrium problems
• Solution semicontinuity of parametric generalized vector equilibrium problems
• A minimax theorem for vector-valued functions
• Vector variational inequalities and vector equilibria. Mathematical theories
• On the stability of the solution sets of general multivalued vector quasiequilibrium problems
• Optimal adaptive regulation for nonlinear systems with observation noise
• Stability for parametric implicit vector equilibrium problems
• Vector optimization. Set-valued and variational analysis.
• Global stability results for the weak vector variational inequality
• Upper semicontinuity of the solution set to parametric vector quasivariational inequalities
• Implicit vector equilibrium problems via nonlinear scalarisation
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