Stability of the set of solutions for generalized vector equilibrium problems with cone constraints

DOI10.1080/02331934.2020.1860978zbMath1497.49040OpenAlexW3111321047MaRDI QIDQ5038151

Yu Han, Nan-Jing Huang

Publication date: 29 September 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1860978

zbMATH Keywords

existence of solutionsupper semicontinuitylower semicontinuitygeneralized vector equilibrium problemcone constraint

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

Stability of optimal points with respect to improvement sets ⋮ Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices

Cites Work

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• Existence and stability of solutions for a class of generalized vector equilibrium problems
• Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria
• Vector variational-like inequalities with constraints: separation and alternative
• Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
• Lower semicontinuity of the solution mappings to a parametric generalized Ky Fan inequality
• Optimality conditions for the Henig efficient solution of vector equilibrium problems with constraints
• Optimality conditions for vector equilibrium problems with constraint in Banach spaces
• A generalization of Tychonoff's fixed point theorem
• Convergence analysis of a class of penalty methods for vector optimization problems with cone constraints
• Some characterizations of the approximate solutions to generalized vector equilibrium problems
• Lower semicontinuity of the set of efficient solutions for generalized systems
• Solution semicontinuity of parametric generalized vector equilibrium problems
• Benson proper efficiency in the vector optimization of set-valued maps
• Variational methods in partially ordered spaces
• Vector variational inequalities and vector equilibria. Mathematical theories
• Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications
• Lower semicontinuity of solution mappings for parametric fixed point problems with applications
• Optimality conditions for efficient solution to the vector equilibrium problems with constraints
• Continuity of the solution mappings to parametric generalized strong vector equilibrium problems
• Continuity of solution maps of parametric quasiequilibrium problems
• Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems
• Stability for parametric implicit vector equilibrium problems
• Optimality conditions for vector equilibrium problems
• Global stability results for the weak vector variational inequality
• Continuity of the efficient solution mapping for vector optimization problems
• Cone-valued maps in optimization
• On Uniqueness of Lagrange Multipliers in Optimization Problems Subject to Cone Constraints
• Nonsmooth variational inequalities on Hadamard manifolds
• Set-valued Optimization
• Generalized Levitin--Polyak Well-Posedness in Constrained Optimization

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