Contractibility of the efficient set in strictly quasiconcave vector maximization

DOI10.1023/A:1017527329601zbMath1009.90101OpenAlexW28695241MaRDI QIDQ1608142

R. Smith

Publication date: 12 August 2002

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

Full work available at URL: https://doi.org/10.1023/a:1017527329601

zbMATH Keywords

connectednessvector optimizationcontractability

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (6)

Proper efficiency in linear fractional vector optimization via Benson's characterization ⋮ Topological fixed point theory and applications to variational inequalities ⋮ On connectedness of efficient solution sets for a star cone-quasiconvex vector optimization problem ⋮ Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains ⋮ Geoffrion's proper efficiency in linear fractional vector optimization with unbounded constraint sets ⋮ Connectedness of the approximate solution sets for set optimization problems

Cites Work

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• Connectedness of the efficient set of strictly quasiconcave sets
• Connectedness of the efficient set in strictly quasiconcave vector maximization
• Connectedness of the efficient set for three-objective quasiconcave maximization problems
• The structure of the efficient frontier of finite-dimensional completely-shaded sets
• On the connectedness of the efficient set for strictly quasiconvex vector minimization problems
• Connectedness of the efficient solution sets for a strictly path quasiconvex programming problem

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