Characterizations of Nonsmooth Robustly Quasiconvex Functions

Bui, Hoa; Khanh, P.D.; Tran, T.T.T.

doi:10.1007/s10957-018-1421-3

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Access Status

Open access

Authors

Bui, Hoa

Khanh, P.D.

Tran, T.T.T.

Date

2019

Type

Journal Article

Metadata

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Citation

Bui, H.T. and Khanh, P.D. and Tran, T.T.T. 2019. Characterizations of Nonsmooth Robustly Quasiconvex Functions. Journal of Optimization Theory and Applications. 180 (3): pp. 775-786.

Source Title

Journal of Optimization Theory and Applications

DOI

10.1007/s10957-018-1421-3

ISSN

0022-3239

Faculty

Faculty of Science and Engineering

School

School of Electrical Engineering, Computing and Mathematical Sciences (EECMS)

Remarks

This is a post-peer-review, pre-copyedit version of an article published in Characterizations of Nonsmooth Robustly Quasiconvex Functions. The final authenticated version is available online at: http://doi.org/10.1007/s10957-018-1421-3

URI

http://hdl.handle.net/20.500.11937/81340

Collection

Curtin Research Publications

Abstract

© 2018, Springer Science+Business Media, LLC, part of Springer Nature. 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.