The structure of the efficient frontier of finite-dimensional completely-shaded sets

DOI10.1006/jmaa.2000.6960zbMath1009.90104OpenAlexW1972536044MaRDI QIDQ1588420

Nicolae Popovici, Joël Benoist

Publication date: 3 December 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1f0572eb23f2e1d42fac3cb2e2ef18e9911a6a90

zbMATH Keywords

vector optimizationefficiencycontractibilityretractsshaded sets

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (11)

Sectionwise connected sets in vector optimization ⋮ On directed sets and their suprema ⋮ Involving the Helly number in Pareto reducibility ⋮ Explicitly quasiconvex set-valued optimization ⋮ Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains ⋮ Arcwise cone-quasiconvex multicriteria optimization ⋮ Contractibility of the efficient frontier of three-dimensional simply-shaded sets. ⋮ Pareto reducible multicriteria optimization problems ⋮ Axiomatic approach to approximate solutions in multiobjective optimization ⋮ Free disposal hull condition to verify when efficiency coincides with weak efficiency ⋮ Contractibility of the efficient set in strictly quasiconcave vector maximization

Cites Work

• Existence of equilibria when firms follow bounded losses pricing rules
• Connectedness of the efficient set of strictly quasiconcave sets
• Contractibility of the efficient frontier of three-dimensional simply-shaded sets.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The structure of the efficient frontier of finite-dimensional completely-shaded sets