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2009 CHARACTERIZATIONS OF PREINVEX AND PREQUASIINVEX SET-VALUED MAPS
T. Jabarootian, J. Zafarani
Taiwanese J. Math. 13(3): 871-898 (2009). DOI: 10.11650/twjm/1500405445

Abstract

The purpose of this paper is to characterize in terms of scalar preinvexity (resp. prequasiinvexity) the set-valued maps which are K-preinvex (resp. K-prequasiinvex) with respect to a closed convex cone K. Moreover, as applications of our results some conditions under which a local solution of set-valued scalar optimization for (VP) is a global supper efficient solution for (VP) are given.

Citation

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T. Jabarootian. J. Zafarani. "CHARACTERIZATIONS OF PREINVEX AND PREQUASIINVEX SET-VALUED MAPS." Taiwanese J. Math. 13 (3) 871 - 898, 2009. https://doi.org/10.11650/twjm/1500405445

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1195.47034
MathSciNet: MR2526344
Digital Object Identifier: 10.11650/twjm/1500405445

Subjects:
Primary: 47A15
Secondary: 46A32 , 47D20

Keywords: preinvex functions , prequasiinvex functions , set-valued map , vector optimization problem

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 3 • 2009
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