Scalarization of Henig properly efficient points in locally convex spaces

DOI10.1007/S10957-010-9708-ZzbMath1206.90166OpenAlexW2042444161MaRDI QIDQ607888

Sumit K. Garg

Publication date: 6 December 2010

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

Full work available at URL: https://doi.org/10.1007/s10957-010-9708-z

zbMATH Keywords

scalarizationlocally convex spacesGerstewitz's functionHenig properly efficient points

Mathematics Subject Classification ID

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

Related Items (4)

Stability and scalarization of weak efficient, efficient and Henig proper efficient sets using generalized quasiconvexities ⋮ Stability and scalarization in vector optimization using improvement sets ⋮ Scalarization and optimality conditions for vector equilibrium problems ⋮ Optimality conditions for vector equilibrium problems with constraint in Banach spaces

Cites Work

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• Nonconvex separation theorems and some applications in vector optimization
• On proper efficiencies in locally convex spaces -- a survey
• Henig proper efficient points and generalized Henig proper efficient points
• Theory of multiobjective optimization
• Proper efficiency with respect to cones
• Proper efficiency in locally convex topological vector spaces
• The domination property for efficiency in locally convex spaces
• Nonconvex vector optimization of set-valued mappings.
• Scalarization of Henig proper efficient points in a normed space
• Vector network equilibrium problems and nonlinear scalarization methods
• Superefficiency in local convex spaces
• Vector optimization. Set-valued and variational analysis.
• Super Efficiency in Vector Optimization

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