Relationship between solid cones and cones with bases

DOI10.1007/BF02190008zbMath0866.90104MaRDI QIDQ2565023

Yanyan Li

Publication date: 7 January 1997

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

zbMATH Keywords

vector optimizationconvex conessolid conesseparated locally convex topological vector space\(\Gamma\)-based cones

Mathematics Subject Classification ID

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

Related Items (3)

Cones with bounded and unbounded bases and reflexivity ⋮ Some notes on the differentiability of the support function ⋮ On Polar Cones and Differentiability in Reflexive Banach Spaces

Cites Work

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• Remarks on convex cones
• Proper solutions of vector optimization problems
• Remarks on the angle property and solid cones
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Scalarization in vector optimization
• Pareto efficiency in locally convex spaces i
• The geometry of Pareto efficiency over cones
• Existence Theorems for Pareto Optimization; Multivalued and Banach Space Valued Functionals

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