Characterizations of the Nonemptiness and Boundedness of Weakly Efficient Solution Sets of Convex Vector Optimization Problems in Real Reflexive Banach Spaces

S. Deng ()
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S. Deng: Northern Illinois University

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 1, No 1, 7 pages

Abstract: Abstract Under a weak compactness assumption on the functions involved, which always holds in finite-dimensional normed linear spaces, this paper extends various characterizations of the nonemptiness and boundedness of weakly efficient solution sets of convex vector optimization problems, obtained previously by the author (Deng in J. Optim. Theory Appl. 96:123–131, 1998) in the real finite-dimensional normed linear space setting, to those in the real reflexive Banach space setting.

Keywords: Convex vector optimization; Weakly efficient solution; Recession cone; Recession function (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-008-9443-x

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