Nearly Subconvexlike Set-Valued Maps and Vector Optimization Problems
P. H. Sach
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P. H. Sach: Institute of Mathematics
Journal of Optimization Theory and Applications, 2003, vol. 119, issue 2, No 6, 335-356
Abstract:
Abstract This paper gives several characterizations of nearly subconvexlike set-valued maps (see Ref. 1) and shows that a weakly efficient solution and a Benson properly efficient solution of a vector optimization problem with nearly-subconvexlike objectives and constraints can be expressed in terms of saddle points defined in a suitable sense.
Keywords: Near cone-subconvexlikeness; Benson proper efficiency; saddle points; vector optimization (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/B:JOTA.0000005449.20614.41
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