The semi-\(E\) cone convex set-valued map and its applications

DOI10.1007/S11590-017-1169-YzbMath1396.90069OpenAlexW2738593441MaRDI QIDQ1670538

Peng Zhang

Publication date: 5 September 2018

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-017-1169-y

zbMATH Keywords

fixed pointoptimality conditions\(E\)-convex setsemi-\(E\) cone convex set-valued map

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)

Related Items (1)

Globally proper efficiency of set-valued optimization and vector variational inequality involving the generalized contingent epiderivative

Cites Work

• Characterizations of preinvex and prequasiinvex set-valued maps
• Theorems of the alternative for multifunctions with applications to optimization: General results
• On sufficiency of the Kuhn-Tucker conditions
• A theorem of the alternative and its application to the optimization of set-valued maps
• Optimization of set-valued functions
• Near-subconvexlikeness in vector optimization with set-valued functions
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Theorems of the alternative and optimization with set-valued maps
• Some properties of semi-\(E\)-convex functions.
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Vector Optimization

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