A generalized alternative theorem of partial and generalized cone subconvexlike set-valued maps and its applications in linear spaces

DOI10.1155/2012/370654zbMath1252.49025OpenAlexW2075468974WikidataQ58906755 ScholiaQ58906755MaRDI QIDQ1760659

Jian-Wen Peng, Zhi-Ang Zhou

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/370654

zbMATH Keywords

cone subconvex-like set-valued mapsKuhn-Tucker conditions of set-valued optimization problems

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Optimality conditions (49K99)

Cites Work

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• Benson proper efficiency in the vector optimization of set-valued maps
• Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps
• The optimality conditions for vector optimization of set-valued maps
• Efficient and weak efficient points in vector optimization with generalized cone convexity
• Near-subconvexlikeness in vector optimization with set-valued functions
• New generalized convexity notion for set-valued maps and application to vector optimization
• Theorems of the alternative and optimality conditions
• Theorems of the alternative and optimization with set-valued maps
• Multivalued convexity and optimization: A unified approach to inequality and equality constraints
• Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces

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