Continuity of minimal points with applications to parametric multiple objective optimization

DOI10.1016/j.ejor.2003.08.012zbMath1106.90064OpenAlexW2034308403MaRDI QIDQ1877020

Ewa M. Bednarczuk

Publication date: 16 August 2004

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2003.08.012

zbMATH Keywords

Parametric programmingStability analysisMultiple objective programming

Mathematics Subject Classification ID

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

Related Items (8)

Existence and stability of solutions to inverse variational inequality problems ⋮ On solving parametric multiobjective quadratic programs with parameters in general locations ⋮ Continuity and closedness of constraint and solution set mappings in unified parametric semi-infinite vector optimization ⋮ Some characterizations of solution sets of vector optimization problems with generalized order ⋮ Extended \(B\)-well-Posedness and property (H) for set-valued vector optimization with convexity ⋮ Stability of efficient solutions to set optimization problems ⋮ Continuity of the efficient solution mapping for vector optimization problems ⋮ Lower convergence of minimal sets in star-shaped vector optimization problems

Cites Work

• Well-posed optimization problems
• Theory of multiobjective optimization
• The domination property in multicriteria optimization
• Second-order efficiency conditions and sensitivity of efficient points
• Lipschitz-continuity of Pareto-optimal extreme points
• Existence and continuity of solutions for vector optimization
• Stability and sensitivity analysis in multiobjective nonlinear programming
• Solution Sensitivity from General Principles
• Scaled Stability in Variational Problems
• On the Sensitivity Analysis of Hoffman Constants for Systems of Linear Inequalities
• Convexity of the optimal multifunctions and its consequences in vector optimization
• On a Theorem of Arrow, Barankin, and Blackwell
• Stability and Sensitivity Analysis in Convex Vector Optimization
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