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Title: Stable minimizers of phi-regular functions
Authors: Yao, JC
Zheng, XY
Zhu, JX 
Keywords: Admissible function
Uniform phi-growth condition
Metric regularity
Issue Date: 2017
Publisher: Society for Industrial and Applied Mathematics
Source: SIAM journal on optimization, 2017, v. 27, no. 2, p. 1150-1170 How to cite?
Journal: SIAM journal on optimization 
Abstract: In this paper, given an admissible function phi, we consider phi-regularity and find it to be a suitable qualification for a function to satisfy the phi-growth condition and uniform phi-growth condition. We establish the relationships between phi-growth condition/uniform phi-growth condition of a phi-regular function and the corresponding strong metric subregularity/regularity of its subdifferential mapping. The results presented in this paper improve and generalize some existing ones on stable second-order local minimizers in the literature.
ISSN: 1052-6234
EISSN: 1095-7189
DOI: 10.1137/16M1086741
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