Choquet boundaries and efficiency

DOI10.1016/j.camwa.2007.03.022zbMath1155.31301OpenAlexW2135095172MaRDI QIDQ1005816

Vasile Postolică

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.03.022

zbMATH Keywords

Choquet boundaryaltomare projectionapproximate efficiencyfull nuclear cone

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

• Ensembles sémi-réticulés et ensembles réticulés de fonctions continues
• \(\epsilon\)-solutions in vector minimization problems
• On existence of cone-maximal points in real topological linear spaces
• On the existence of efficient points in locally convex spaces
• Pareto optimization in infinite dimensional spaces: The importance of nuclear cones
• Korovkin-type approximation theory and its applications
• Fixed point theorems for multifunctions in topological vector spaces
• Comparison of existence results for efficient points
• Full nuclear cones associated to a normal cone. Application to Pareto efficiency.
• Existence of efficient points in vector optimization and generalized Bishop-Phelps theorem
• New existence results for efficient points in locally convex spaces ordered by supernormal cones
• Existence et unicité des représentations intégrales dans les convexes compacts quelconques
• Theory of capacities
• Between Pareto efficiency and Pareto ε-efficiency
• A note on a class of cones ensuring the existence of efficient points in bounded complete sets¹
• Properties of pareto sets in locally convex spaces
• A Coincidence result between sets of efficient points and choquet boundaries in separated locally convex spaces
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