Stability results for convex vector-valued optimization problems

DOI10.1007/s11117-010-0093-5zbMath1234.49025OpenAlexW2086201356MaRDI QIDQ655988

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

Publication date: 26 January 2012

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0093-5

zbMATH Keywords

stabilityvector optimizationPainlevé-Kuratowski convergence

Mathematics Subject Classification ID

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

Related Items (17)

Differential optimization in finite-dimensional spaces ⋮ Stability of minimizers of set optimization problems ⋮ Stability of set-valued optimization problems with naturally quasi-functions ⋮ Approximations of optimization-related problems in terms of variational convergence ⋮ Variational convergence for vector-valued functions and its applications to convex multiobjective optimization ⋮ Convergence Results for Henig Proper Efficient Solution Sets of Vector Optimization Problems ⋮ Stability analysis for vector quasiequilibrium problems ⋮ Hadamard well-posedness for a set-valued optimization problem ⋮ Painlevé–Kuratowski Convergence of Solutions for Perturbed Symmetric Set-Valued Quasi-Equilibrium Problem via Improvement Sets ⋮ Scalarization of Levitin-Polyak well-posedness in vector optimization using weak efficiency ⋮ Characterizations of Benson proper efficiency of set-valued optimization in real linear spaces ⋮ Unnamed Item ⋮ Stability of minimal solutions to parametric set optimization problems ⋮ Set convergence of non-convex vector optimization problem with variable ordering structure ⋮ Stability for differential mixed variational inequalities ⋮ Convergence for vector optimization problems with variable ordering structure ⋮ Stability results for properly quasi convex vector optimization problems

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• An Existence Theorem in Vector Optimization
• Variational Analysis
• Stability for convex vector optimization problems
• Stability Results for Ekeland's ε-Variational Principle and Cone Extremal Solutions
• Stability in vector-valued and set-valued optimization

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