Cones Admitting Strictly Positive Functionals and Scalarization of Some Vector Optimization Problems

X. D. H. Truong
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X. D. H. Truong: Hanoi Institute of Mathematics

Journal of Optimization Theory and Applications, 1997, vol. 93, issue 2, No 6, 355-372

Abstract: Abstract This paper is concerned with cones admitting strictly positive functionals and scalarization methods in multiobjective optimization. Assuming that the ordering cone admits strictly positive functionals or possesses a base in normed spaces or is a supernormal cone in a Banach space, we give scalar and scalar proper representations for vector optimization problems with convex and naturally quasiconvex data.

Keywords: Vector optimization problems; scalarization; efficient points; strictly positive functionals; cones with a base; supernormal cones; convexity; natural quasiconvexity (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022654107386

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