Weak Sharp Minima in Set-Valued Optimization Problems

Ming-hao Jin, Jun-xiang Wang and Shu Xu

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

Abstract:

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).

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:935673

DOI: 10.1155/2012/935673

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