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Christian Günther, Nicolae Popovici, The role of nonlinear scalarization functions in characterizing generalized convex vector functions – Journal of Applied and Numerical Optimization Skip to content

Christian Günther, Nicolae Popovici, The role of nonlinear scalarization functions in characterizing generalized convex vector functions

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DOI: 10.23952/jano.1.2019.3.09
Volume 1, Issue 3, 31 December 2019, Pages 325-333

 

Abstract. The aim of this paper is to present new characterizations of cone-convex and explicitly cone-quasiconvex vector functions with respect to a proper closed solid convex cone of a real linear topological space. These characterizations are given in terms of classical convexity and explicit quasiconvexity of certain real-valued functions, defined by means of the nonlinear scalarization function introduced by Gerstewitz (Tammer) in 1983.

 

How to Cite this Article:
Christian Günther, Nicolae Popovici, The role of nonlinear scalarization functions in characterizing generalized convex vector functions, J. Appl. Numer. Optim. 1 (2019), 325-333.