New existence results for efficient points in locally convex spaces ordered by supernormal cones

DOI10.1007/BF01096741zbMath0784.90101MaRDI QIDQ2366972

Vasile Postolică

Publication date: 15 August 1993

Published in: Journal of Global Optimization (Search for Journal in Brave)

zbMATH Keywords

locally convex spacesexistence of efficient points\(H\)-locally convex spacesupernormality for convex coneswell based cone

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)

Related Items (9)

On the equilibria of generalized dynamical systems ⋮ Properties of pareto sets in locally convex spaces ⋮ A Coincidence result between sets of efficient points and choquet boundaries in separated locally convex spaces ⋮ New existence results of solutions for vector optimization programs with multifunctions ⋮ Full nuclear cones and a relation between strong optimization and Pareto efficiency ⋮ Choquet boundaries and efficiency ⋮ Some more density results for proper efficiencies ⋮ Comparison of existence results for efficient points ⋮ Full nuclear cones associated to a normal cone. Application to Pareto efficiency.

Cites Work

• An existence result for maximizations with respect to cones
• Existence theorems in vector optimization
• On existence of cone-maximal points in real topological linear spaces
• Conically bounded sets and optimization
• Conically bounded sets in Banach spaces
• An Existence Theorem in Vector Optimization
• On the Existence of Pareto Efficient Points
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