Abstr. Appl. Anal. 2012 (SI08), 1-9, (2012) DOI: 10.1155/2012/935673
Ming-hao Jin, Jun-xiang Wang, Shu Xu
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).