Semicontinuity of the solution mappings to weak generalized parametric Ky Fan inequality problems with trifunctions

DOI10.1080/02331934.2012.660693zbMath1290.49031OpenAlexW2083714330MaRDI QIDQ5413896

Zai-Yun Peng, Yang, Xinmin

Publication date: 2 May 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2012.660693

zbMATH Keywords

stability analysislower semicontinuityscalarizationgeneralized Ky Fan inequality

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)

Related Items (7)

Continuity of solution mappings for parametric generalized set-valued weak vector equilibrium problems ⋮ On stability of solutions to parametric generalized affine variational inequalities ⋮ Connectedness of solution sets for weak generalized symmetric Ky Fan inequality problems via addition-invariant sets ⋮ Painlevé-Kuratowski stability of the solution sets to perturbed vector generalized systems ⋮ Minimax theorems for set-valued maps without continuity assumptions ⋮ Semicontinuity and convergence for vector optimization problems with approximate equilibrium constraints ⋮ Semicontinuity of Approximate Solution Mappings to Parametric Set-Valued Weak Vector Equilibrium Problems

Cites Work

• Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
• Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions
• Lower semicontinuity of the solution mappings to a parametric generalized Ky Fan inequality
• Continuity of approximate solution mappings for parametric equilibrium 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
• Solution semicontinuity of parametric generalized vector equilibrium problems
• On the stability of the solution sets of general multivalued vector quasiequilibrium problems
• Stability for parametric implicit vector equilibrium problems
• Global stability results for the weak vector variational inequality
• Extensions of two fixed point theorems of F. E. Browder
• LOWER SEMICONTINUITY OF PARAMETRIC GENERALIZED WEAK VECTOR EQUILIBRIUM PROBLEMS

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