Stability of minimality and criticality in directional set-valued optimization problems

DOI10.1007/s11117-021-00809-6zbMath1473.90149OpenAlexW3124827003MaRDI QIDQ2045919

Teodor Chelmuş, Marius Durea

Publication date: 16 August 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-021-00809-6

zbMATH Keywords

stabilitymultiobjective optimizationPainlevé-Kuratowski convergencedirectional minimality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Set-valued maps in general topology (54C60) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

Approximate efficiency in set-valued optimization with variable order

Cites Work

• Unnamed Item
• Unnamed Item
• Relationships between constrained and unconstrained multi-objective optimization and application in location theory
• Codifferential calculus
• Cooperative behavior of functions, relations and sets
• Variational methods in partially ordered spaces
• Directional Pareto efficiency: concepts and optimality conditions
• Stability of minimizers of set optimization problems
• On the existence and stability of approximate solutions of perturbed vector equilibrium problems
• Variational Analysis and Applications
• Directional openness for epigraphical mappings and optimality conditions for directional efficiency
• A New Type of Directional Regularity for Mappings and Applications to Optimization

This page was built for publication: Stability of minimality and criticality in directional set-valued optimization problems