Scalarization of \(\epsilon\)-super efficient solutions of set-valued optimization problems in real ordered linear spaces

DOI10.1007/s10957-014-0565-zzbMath1317.90250OpenAlexW1965299678MaRDI QIDQ467463

Zhi-Ang Zhou, Yang, Xinmin

Publication date: 3 November 2014

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-014-0565-z

zbMATH Keywords

set-valued mapsefficient solutionsscalarizationgeneralized cone subconvexlikeliness

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30)

Related Items (5)

Generic stability of the solution mapping for set-valued optimization problems ⋮ Unnamed Item ⋮ Characterizations of Benson proper efficiency of set-valued optimization in real linear spaces ⋮ Approximate Benson efficient solutions for set-valued equilibrium problems ⋮ Nonconvex Separation Functional in Linear Spaces with Applications to Vector Equilibria

Cites Work

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• Proper efficiency and the theory of vector maximization
• ∊-STRICTLY EFFICIENT SOLUTIONS OF VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPS
• ε-Optimality Conditions for Vector Optimization Problems with Set-Valued Maps
• Proper Efficient Points for Maximizations with Respect to Cones
• Super Efficiency in Vector Optimization
• e-weak minimal solutions of vector optimization problems with set-valued maps

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