- Title
- Characterizations of nonsmooth robustly quasiconvex functions
- Creator
- Bui, Hoa; Khanh, Pham; Tran, Thi
- Date
- 2019
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/167935
- Identifier
- vital:13765
- Identifier
-
https://doi.org/10.1007/s10957-018-1421-3
- Identifier
- ISBN:0022-3239
- Abstract
- 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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
- Publisher
- Springer New York LLC
- Relation
- Journal of Optimization Theory and Applications Vol. 180, no. 3 (2019), p. 775-786
- Rights
- Copyright © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Approximate mean value theorem; Fréchet subdifferential; Quasiconvexity; Quasimonotone; Robust quasiconvexity
- Full Text
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