NDLI: SecondOrder Sufficient Conditions for Error Bounds in Banach Spaces

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	He, Yiran Sun, Jie
Copyright Year	2006
Abstract	Recently, Huang and Ng presented secondorder sufficient conditions for error bounds of continuous and Gteaux differentiable functions in Banach spaces. Wu and Ye dropped the assumption of Huang and Ng on Gteaux differentiability but required the space to be a Hilbert space. We carry on this research in two directions. First we extend Wu and Yes result to some nonHilbert spaces; second, same as Huang and Ng, we work on Banach spaces but provide different secondorder sufficient conditions that may allow the function to be nonGteaux differentiable.
Starting Page	795
Ending Page	805
Page Count	11
File Format	PDF
ISSN	10526234
DOI	10.1137/040621661
e-ISSN	10957189
Journal	SIAM Journal on Optimization (SJOPE8)
Issue Number	3
Volume Number	17
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-10-04
Access Restriction	Subscribed
Subject Keyword	error bound proximal subdifferential Nonsmooth analysis Geometry and structure of normed linear spaces Nonconvex programming, global optimization Hlder smooth subdifferential Sensitivity, stability, parametric optimization nonsmooth analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Software

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SecondOrder Sufficient Conditions for Error Bounds in Banach Spaces