Please use this identifier to cite or link to this item: https://doi.org/10.1137/040621661
Title: Second-order sufficient conditions for error bounds in banach spaces
Authors: He, Y.
Sun, J. 
Keywords: Error bound
Hölder smooth subdifferential
Nonsmooth analysis
Proximal sub-differential
Issue Date: 2006
Source: He, Y., Sun, J. (2006). Second-order sufficient conditions for error bounds in banach spaces. SIAM Journal on Optimization 17 (3) : 795-805. ScholarBank@NUS Repository. https://doi.org/10.1137/040621661
Abstract: Recently, Huang and Ng presented second-order sufficient conditions for error bounds of continuous and Gâteaux differentiate functions in Banach spaces. Wu and Ye dropped the assumption of Huang and Ng on Gâteaux differentiability but required the space to be a Hilbert space. We carry on this research in two directions. First we extend Wu and Ye's result to some non-Hilbert spaces; second, same as Huang and Ng, we work on Banach spaces but provide different second-order sufficient conditions that may allow the function to be non-Gâteaux differentiate. © 2006 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Optimization
URI: http://scholarbank.nus.edu.sg/handle/10635/44037
ISSN: 10526234
DOI: 10.1137/040621661
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