Characterizations of Nonsmooth Robustly Quasiconvex Functions
https://doi.org/10.1007/s10957-018-1421-3Publisher, magazine: ,
Publication year: 2019
Lưu Trích dẫn Chia sẻAbstract
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces. The first criterion extends to such spaces a result established by Barron et al. (Discrete Contin Dyn Syst Ser B 17:1693–1706, 2012). The second criterion is totally new even if it is applied to lower semicontinuous functions on finite-dimensional spaces.
Tags: Quasiconvexity · Robust quasiconvexity · Quasimonotone · Fréchet subdifferential · Approximate mean value theorem
Các bài viết liên quan đến tác giả Bui Thi Hoa
Geometric and Metric Characterizations of Transversality Properties
About Extensions of the Extremal Principle
Characterizations of Nonsmooth Robustly Quasiconvex Functions