Subdifferential necessary conditions in set-valued optimization problems with equilibrium constraints

DOI10.1080/02331934.2011.632419zbMath1320.90074OpenAlexW2040739535MaRDI QIDQ5413879

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Publication date: 2 May 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2011.632419

zbMATH Keywords

necessary optimality conditionsvariational analysisgeneralized differentiationset-valued optimizationgeneralized orderextremality property

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52)

Related Items (5)

Necessary conditions for εe-minimizers in vector optimization with empty interior ordering sets ⋮ Existence theorems in vector optimization with generalized order ⋮ Extremal systems for sets and multifunctions in multiobjective optimization with variable ordering structures ⋮ Some characterizations of solution sets of vector optimization problems with generalized order ⋮ A limiting subdifferential version of Ekeland's variational principle in set optimization

Cites Work

• Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
• Lagrangian conditions for vector optimization in Banach spaces
• Lagrange multipliers for multiobjective programs with a general preference
• Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints.
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Variational methods in partially ordered spaces
• Necessary conditions for super minimizers in constrained multiobjective optimization
• Necessary conditions in multiobjective optimization with equilibrium constraints
• Lagrange multipliers for set-valued optimization problems associated with coderivatives
• Fuzzy necessary optimality conditions for vector optimization problems
• An Extended Extremal Principle with Applications to Multiobjective Optimization
• Equilibrium problems with equilibrium constraints via multiobjective optimization
• Variational Analysis and Generalized Differentiation I
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• The Lagrange Multiplier Rule for Multifunctions in Banach Spaces

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