A limiting subdifferential version of Ekeland’s variational principle in set optimization
https://doi.org/10.1007/s11590-019-01489-8Publisher, magazine: ,
Publication year: 2019
Lưu Trích dẫn Chia sẻAbstract
The paper is devoted to a new subdifferential version of Ekeland’s variational principle for set-valued maps in terms of Mordukhovich’s limiting differentiation, where Kuroiwa’s lower set-less preorder is used to compare images of set-valued maps. As a consequence, we study necessary conditions for strict positive minimizers of set-valued maps.
Tags: Ekeland’s variational principle; Limiting differentiation; Lower set-less preorder; Set optimization.
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