Globally proper saddle point in ic-cone-convexlike set-valued optimization problems

DOI10.1007/s10114-009-6144-9zbMath1205.90235OpenAlexW2029280767MaRDI QIDQ2655595

Guolin Yu, San-Yang Liu

Publication date: 25 January 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-6144-9

zbMATH Keywords

saddle pointset-valued mapglobally proper efficiencyic-cone-convexlikeness

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items (8)

Scalarization of set-valued optimization problems with generalized cone subconvexlikeness in real ordered linear spaces ⋮ \(\epsilon\)-optimality conditions of vector optimization problems with set-valued maps based on the algebraic interior in real linear spaces ⋮ Directionally generalized differentiation for multifunctions and applications to set-valued programming problems ⋮ Henig globally efficiency for set-valued optimization and vector variational inequality ⋮ Optimality and duality in set-valued optimization utilizing limit sets ⋮ Topological properties of Henig globally efficient solutions of set-valued problems ⋮ Global proper efficiency and vector optimization with cone-arcwise connected set-valued maps ⋮ OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE

Cites Work

• Unnamed Item
• Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior
• Proper efficiency with respect to cones
• Super efficiency in the nearly cone-subconvexlike vector optimization with set-valued functions
• New generalized convexity notion for set-valued maps and application to vector optimization
• Benson proper efficiency in the nearly cone-subconvexlike vector optimization with set-valued functions.

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