Geometry of cones and an application in the theory of Pareto efficient points

DOI10.1016/j.jmaa.2005.06.093zbMath1131.90071OpenAlexW2145404386MaRDI QIDQ2492979

Ioannis A. Polyrakis, Christos E. Kountzakis

Publication date: 9 June 2006

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.2005.06.093

zbMATH Keywords

Schur propertybases for conesdenting pointspoints of continuityquasi-interior pointsPareto efficient points

Mathematics Subject Classification ID

Interior-point methods (90C51)

Related Items (4)

Cones with bounded and unbounded bases and reflexivity ⋮ On geometry of cones and some applications ⋮ Denting points of convex sets and weak property \((\pi)\) of cones in locally convex spaces ⋮ On dentability and cones with a large dual

Cites Work

• Norm duality for convex processes and applications
• Conically bounded sets and optimization
• Partially finite convex programming. I: Quasi relative interiors and duality theory
• Some more density results for proper efficiencies
• Pareto optimization in infinite dimensional spaces: The importance of nuclear cones
• Inclusion theorems for non-explosive and strongly exposed cones in normed spaces
• Density of the set of positive proper minimal points in the set of minimal points
• Unconditional convergence in partially ordered linear spaces
• Characterizations of Denting Points
• Super Efficiency in Vector Optimization
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