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Scalarization of set-valued optimization problems and variational inequalities in topological vector spaces

Authors:	S Khoshkhabar-amiranloo

Institution:	^a School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran ^b School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

Abstract:	This paper deals with set-valued vector optimization problems and set-valued vector variational inequalities in topological vector spaces, and provides some scalarization approaches for these problems by means of the polar cone and Gerstewitz’s scalarization functions.

Keywords:	Optimization Variational inequalities Gerstewitz&rsquo s functions Functional analysis Convex analysis
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