Hadamard well-posedness for a set-valued optimization problem

DOI10.1007/s11590-011-0439-3zbMath1287.90072OpenAlexW1988771023MaRDI QIDQ1941198

Wenyan Zhang, Xiao-Wei Xue, Jing Zeng, Sheng Jie Li

Publication date: 12 March 2013

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-011-0439-3

zbMATH Keywords

set-valued optimization problemHadamard well-posednessP.K. convergence

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (9)

A New Topological Framework and Its Application to Well-Posedness in Set-Valued Optimization ⋮ Stability in set-valued optimization problems using asymptotic analysis and epi-convergence ⋮ Hadamard well-posedness and stability in set optimization ⋮ Well-posedness and existence for the weak multicriteria Nash equilibrium of multicriteria games ⋮ On Hadamard well-posedness of families of Pareto optimization problems ⋮ Stability for differential mixed variational inequalities ⋮ Stability results for properly quasi convex vector optimization problems ⋮ Some equivalence results for well-posedness of hemivariational inequalities ⋮ Tykhonov well-posedness for quasi-equilibrium problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability results for convex vector-valued optimization problems
• Well-posed optimization problems
• Pareto optimality, game theory and equilibria
• Some properties of approximate solutions for vector optimization problem with set-valued functions
• Extended well-posedness of quasiconvex vector optimization problems
• Extended well-posedness of optimization problems
• Extended and strongly extended well-posedness of set-valued optimization problems
• Nonconvex vector optimization of set-valued mappings.
• Extended well-posedness properties of vector optimization problems
• Hadamard well-posed vector optimization problems
• Vector optimization. Set-valued and variational analysis.
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
• An Existence Theorem in Vector Optimization
• Degrees of Efficiency and Degrees of Minimality
• Stability for convex vector optimization problems
• Stability in vector-valued and set-valued optimization

This page was built for publication: Hadamard well-posedness for a set-valued optimization problem