Some geometrical aspects of efficient points in vector optimization

DOI10.1007/s10957-007-9171-7zbMath1146.49015OpenAlexW2165645372MaRDI QIDQ946302

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

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10957-007-9171-7

zbMATH Keywords

extreme pointsstrongly exposed pointsnormed spacesefficient pointssupport points

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Geometry and structure of normed linear spaces (46B20) General equilibrium theory (91B50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the density of positive proper efficient points in a normed space
• The structure of admissible points with respect to cone dominance
• Some more density results for proper efficiencies
• The domination property for efficiency in locally convex spaces
• Dentability and extreme points in Banach spaces
• Efficiency prices for optimal consumption plans. II
• On a Theorem of Arrow, Barankin, and Blackwell
• Positive Proper Efficient Points and Related Cone Results in Vector Optimization Theory
• Optimization and nonsmooth analysis
• Characterizations of Denting Points
• A Generalization of a Theorem of Arrow, Barankin, and Blackwell
• The geometry of Pareto efficiency over cones
• Some more characterizations of Banach spaces containing l₁
• On Cone-Efficiency, Cone-Convexity and Cone-Compactness
• Super Efficiency in Vector Optimization
• Density Results for Proper Efficiencies
• Two Generalizations of a Theorem of Arrow, Barankin, and Blackwell
• On the Existence of Pareto Efficient Points
• On the density of proper efficient points

This page was built for publication: Some geometrical aspects of efficient points in vector optimization