Essential weak efficient solution in multiobjective optimization problems

DOI10.1016/0022-247X(92)90338-EzbMath0753.90058MaRDI QIDQ1191785

Jian Yu

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

multiobjective optimizationmultivalued mappingBaire categoryessential weak solution

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued maps in general topology (54C60)

Related Items (34)

Generic stability of the solution mapping for set-valued optimization problems ⋮ On essential sets and essential components of efficient solutions for vector optimization problems ⋮ Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints ⋮ The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set ⋮ Existence and generic stability conditions of equilibrium points to controlled systems for \(n\)-player multiobjective generalized games using the Kakutani-Fan-Glicksberg fixed-point theorem ⋮ Generalized well-posedness for symmetric vector quasi-equilibrium problems ⋮ Generic uniqueness theorems with some applications ⋮ Existence and stability analysis of optimal control ⋮ The stability of set of generalized Ky Fan's points ⋮ Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions ⋮ Sensitivity analysis for generalized quasi-variational relation problems in locally \(G\)-convex spaces ⋮ Existence conditions for symmetric generalized quasi-variational inclusion problems ⋮ Generic uniqueness of solutions for a class of vector ky fan inequalities ⋮ Stability analysis for generalized semi-infinite optimization problems under functional perturbations ⋮ Existence results and equilibrium stability conditions to fuzzy \(n\)-player generalized multiobjective games with application to economic equilibrium models ⋮ Characterization of essential stability in lower pseudocontinuous optimization problems ⋮ Generic uniqueness of equilibrium points ⋮ Existence and stability of minimax regret equilibria ⋮ Unnamed Item ⋮ The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds ⋮ Stability results for efficient solutions of vector optimization problems ⋮ Existence and stability of solutions for generalized strong vector quasi-equilibrium problem ⋮ A note on essential components and essential weakly efficient solutions for multiobjective optimization problems ⋮ Existence and stability of solutions for implicit multivalued vector equilibrium problems ⋮ Existence result of generalized vector quasiequilibrium problems in locally \(G\)-convex spaces ⋮ Continuity properties of solutions of vector optimization ⋮ Bilevel equilibrium problems with lower and upper bounds in locally convex Hausdorff topological vector spaces ⋮ On the stability of solutions for the generalized vector quasi-equilibrium problems via free-disposal set ⋮ On the strongly essential components of Nash equilibria of infinite \(n\)-person games with quasiconcave payoffs ⋮ Essential stability in unified vector optimization ⋮ Essential component and essential optimum solution of optimization problems ⋮ Continuity of the efficient solution mapping for vector optimization problems ⋮ Stability for semivectorial bilevel programs ⋮ Stability of semi-infinite vector optimization problems under functional perturbations

Cites Work

• On a generic optimization theorem of Petar Kenderov
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings
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