Super-efficiency of vector optimization in Banach spaces

DOI10.1016/j.jmaa.2006.04.052zbMath1253.90209OpenAlexW2044167360MaRDI QIDQ860584

X. Y. Zheng, Yang, Xinmin, Kok Lay Teo

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.052

zbMATH Keywords

vector optimizationnormal conesuper-efficiencysemi-subsmoothness

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Programming in abstract spaces (90C48)

Related Items (11)

NECESSARY OPTIMALITY CONDITIONS FOR SUPER MINIMIZERS IN STRUCTURAL PROBLEMS OF MULTIOBJECTIVE OPTIMIZATION ⋮ Clarke coderivatives of efficient point multifunctions in parametric vector optimization ⋮ Kuhn-Tucker optimality conditions for vector equilibrium problems ⋮ A characterization of super efficiency in vector equilibrium problems ⋮ Strong duality with super efficiency in set-valued optimization ⋮ The Lagrange multiplier rule for super efficiency in vector optimization ⋮ Scalarization and optimality conditions for vector equilibrium problems ⋮ Necessary conditions for super minimizers in constrained multiobjective optimization ⋮ The Fermat rule for multifunctions for super efficiency ⋮ Super efficient solutions for set-valued maps ⋮ Optimality conditions for vector equilibrium problems in normed spaces

Cites Work

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• Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior
• Unified representation of proper efficiency by means of dilating cones
• Proper efficiency in locally convex topological vector spaces
• Optimality conditions for proper efficient solutions of vector set-valued optimization.
• Subsmooth sets: Functional characterizations and related concepts
• Super Efficiency in Vector Optimization
• Variational Analysis
• Local differentiability of distance functions
• 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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