Fuzzy and Exact Optimality Conditions for a Bilevel Set-Valued Problem via Extremal Principles

DOI10.1080/01630563.2010.505356zbMath1251.90385OpenAlexW2138654432MaRDI QIDQ3058362

Nazih Abderrazzak Gadhi, Stephan Dempe, Lahoussine Lafhim

Publication date: 19 November 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.505356

zbMATH Keywords

optimality conditionssupport functionextremal principleset-valued optimizationbilevel optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70) Programming in abstract spaces (90C48) Optimality conditions (49K99)

Related Items

New optimality conditions and a scalarization approach for a nonconvex semi-vectorial bilevel optimization problem ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
• Some properties of the bilevel programming problem
• Necessary optimality conditions for bilevel set optimization problems
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Nonsmooth calculus, minimality, and monotonicity of convexificators
• Necessary optimality conditions for bilevel optimization problems using convexificators
• Problems of Hierarchical Optimization in Finite Dimensions
• A necessary and a sufficient optimality condition for bilevel programming problems
• Optimality conditions for bilevel programming problems
• Nonsmooth sequential analysis in Asplund spaces
• First-order necessary optimality conditions for general bilevel programming problems

This page was built for publication: Fuzzy and Exact Optimality Conditions for a Bilevel Set-Valued Problem via Extremal Principles