The Fermat rule for multifunctions for super efficiency

DOI10.1016/j.na.2008.01.023zbMath1155.90448OpenAlexW2004781218MaRDI QIDQ2518131

Hui Huang

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.01.023

zbMATH Keywords

vector optimizationmultifunctioncoderivativesuper efficient solution

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52)

Related Items (2)

Clarke coderivatives of efficient point multifunctions in parametric vector optimization ⋮ Strong Fermat rules for constrained set-valued optimization problems on Banach spaces

Cites Work

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• Super-efficiency of vector optimization in Banach spaces
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• Multiobjective optimization problem with variational inequality constraints
• The Fermat rule for multifunctions on Banach spaces
• Super Efficiency in Vector Optimization
• coderivatives of set-valued mappings: Calculus and applications
• An Extended Extremal Principle with Applications to Multiobjective Optimization
• Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints
• The Lagrange Multiplier Rule in Set-Valued Optimization
• Nonsmooth sequential analysis in Asplund spaces
• The Lagrange Multiplier Rule for Multifunctions in Banach Spaces
• Set-valued analysis
• Connectedness of cone superefficient point sets in locally convex topological vector spaces
• Existence and density results for proper efficiency in cone compact sets

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