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OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE

Guolin Yu ()
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Guolin Yu: Institute of Applied Mathematics, Beifang University of Nationalities, Yinchuan 750021, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2013, vol. 30, issue 03, pages 1340004-1-1340004-10

Abstract: This note deals with the optimality conditions of set-valued unconstraint optimization problem in real normed linear spaces. Based upon the concept of contingent epiderivative, the unified necessary and sufficient optimality conditions for global proper efficiency in vector optimization problem involving cone-arcwise connected set-valued mapping are presented.

Keywords: Set-valued optimization; global proper efficiency; cone-arcwise connected set-valued mapping; contingent epiderivative; Primary 90C29; Primary 90C46; Secondary 26B25 (search for similar items in EconPapers)
Date: 2013
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