Contractibility of the Solution Sets in Strictly Quasiconcave Vector Maximization on Noncompact Domains

N. Q. Huy and N. D. Yen
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N. Q. Huy: Hanoi Pedagogical University
N. D. Yen: Vietnam Academy of Science and Technology

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 3, No 5, 615-635

Abstract: Abstract We study the contractibility of the efficient solution set of strictly quasiconcave vector maximization problems on (possibly) noncompact feasible domains. It is proved that the efficient solution set is contractible if at least one of the objective functions is strongly quasiconcave and any intersection of level sets of the objective functions is a compact (possibly empty) set. This theorem generalizes the main result of Benoist (Ref.1), which was established for problems on compact feasible domains.

Keywords: Vector optimization; strictly quasiconcave functions; noncompact feasible domains; efficient solution sets; contractibility (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-004-1177-9

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