Weak Sharp Minima in Set‐Valued Optimization Problems

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

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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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https://doi.org/10.1155/2012/935673

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:935673

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