Connectedness of the Efficient Set for Three-Objective Quasiconcave Maximization Problems

A. Daniilidis, N. Hadjisavvas and S. Schaible
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A. Daniilidis: University of the Aegean
N. Hadjisavvas: University of the Aegean
S. Schaible: University of California

Journal of Optimization Theory and Applications, 1997, vol. 93, issue 3, No 3, 517-524

Abstract: Abstract For three-objective maximization problems involving continuous, semistrictly quasiconcave functions over a compact convex set, it is shown that the set of efficient solutions is connected. With that, an open problem stated by Choo, Schaible, and Chew in 1985 is solved.

Keywords: Multi-objective maximization; semistrictly quasiconcave functions; efficient solution set; connectedness (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (10)

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DOI: 10.1023/A:1022634827916

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