CHARACTERIZATIONS OF EXPLICITLY QUASICONVEX VECTOR FUNCTIONS WRT POLYHEDRAL CONES
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS(2019)
Abstract
The aim of this paper is to present new characterizations of explicitly cone-quasiconvex vector functions with respect to a polyhedral cone of a finite-dimensional Euclidean space. These characterizations are given in terms of classical explicit quasiconvexity of certain real-valued functions, defined by composing the vector-valued function with appropriate scalarization functions, namely the extreme directions of the polar cone or some nonlinear scalarization functions, currently used in vector optimization.
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Key words
Generalized convex vector functions,polyhedral cones,extreme directions,nonlinear scalarization function
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