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2012 Weak Sharp Minima in Set-Valued Optimization Problems
Ming-hao Jin, Jun-xiang Wang, Shu Xu
Abstr. Appl. Anal. 2012(SI08): 1-9 (2012). DOI: 10.1155/2012/935673


We introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present some sufficient and necessary conditions that a pair point is a weak ψ-sharp minimizer through the outer limit of set-valued map and develop the characterization of the weak ψ-sharp minimizer in terms of a generalized nonlinear scalarization function. These results extend the corresponding ones in Studniarski (2007).


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Ming-hao Jin. Jun-xiang Wang. Shu Xu. "Weak Sharp Minima in Set-Valued Optimization Problems." Abstr. Appl. Anal. 2012 (SI08) 1 - 9, 2012.


Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1263.90085
MathSciNet: MR3004897
Digital Object Identifier: 10.1155/2012/935673

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI08 • 2012
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