Unbounded components in the solution sets of strictly quasiconcave vector maximization problems

DOI10.1007/s10898-006-9032-1zbMath1278.90394OpenAlexW1997529087MaRDI QIDQ868628

Ta Duy Phuong, Tran Ninh Hoa, Nguyen Dong Yen, Nguyen Quang Huy

Publication date: 6 March 2007

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-006-9032-1

zbMATH Keywords

weakly efficient solution setcompactification procedureefficient solution setstrictly quasiconcave vector maximization problemunbounded component

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

Related Items (10)

Proper efficiency in linear fractional vector optimization via Benson's characterization ⋮ Connectedness structure of the solution sets of vector variational inequalities ⋮ An introduction to vector variational inequalities and some new results ⋮ Existence of solutions and error bound for vector variational inequalities in Banach spaces ⋮ Affine variational inequalities on normed spaces ⋮ Monotone affine vector variational inequalities ⋮ New results on proper efficiency for a class of vector optimization problems ⋮ Geoffrion's proper efficiency in linear fractional vector optimization with unbounded constraint sets ⋮ A property of bicriteria affine vector variational inequalities ⋮ The adaptive parameter control method and linear vector optimization

Cites Work

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• Connectedness of the efficient set of strictly quasiconcave sets
• Connectedness of the efficient set for three-objective quasiconcave maximization problems
• Connectedness of the efficient point sets in quasiconcave vector maximization
• Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains
• Linear fractional vector optimization problems with many components in the solution sets
• Connectedness in Multiple Linear Fractional Programming
• An Existence Theorem in Vector Optimization

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