Pareto optimization in topological vector spaces

DOI10.1016/j.jmaa.2004.07.003zbMath1106.90076OpenAlexW2061087907MaRDI QIDQ705290

Jiang Zhu, George Isac, Dun Zhao

Publication date: 26 January 2005

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.2004.07.003

zbMATH Keywords

normal conesefficient pointspseudo-nuclear cones

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle ⋮ Vectorial Ekeland variational principles and inclusion problems in cone quasi-uniform spaces ⋮ Characterizing efficiency without linear structure: a unified approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An existence result for maximizations with respect to cones
• Maximal points with respect to cone dominance in Banach spaces and their existence
• A generalization of the Arrow-Barankin-Blackwell theorem in normed spaces
• Existence theorems in vector optimization
• A survey of vector optimization in infinite-dimensional spaces. II
• On existence of cone-maximal points in real topological linear spaces
• Sets of efficient points in a normed space
• Bases of convex cones and Borwein's proper efficiency
• Pareto optimization in infinite dimensional spaces: The importance of nuclear cones
• Inclusion theorems for non-explosive and strongly exposed cones in normed spaces
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Positive Proper Efficient Points and Related Cone Results in Vector Optimization Theory
• Proper Efficient Points for Maximizations with Respect to Cones
• Existence Theorems for Pareto Optimization; Multivalued and Banach Space Valued Functionals
• An Existence Theorem in Vector Optimization
• Two Generalizations of a Theorem of Arrow, Barankin, and Blackwell
• Between Pareto efficiency and Pareto ε-efficiency
• On the Existence of Pareto Efficient Points
• Contractibility of efficient point sets in normed spaces

This page was built for publication: Pareto optimization in topological vector spaces