- Title
- Proximal analysis in smooth spaces
- Creator
- Borwein, Jonathan M.; Ioffe, Alexander
- Relation
- Set-Valued Analysis Vol. 4, Issue 1, p. 1-24
- Publisher Link
- http://dx.doi.org/10.1007/BF00419371
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 1996
- Description
- We provide a highly-refined sequential description of the generalized gradients of Clarke and approximate G-subdifferential of a lower semicontinuous extended-real-valued function defined on a Banach space with a β-smooth equivalent renorm. In the case of a Fréchet differentiable renorm, we give a corresponding result for the corresponding singular objects.
- Subject
- Lipschitz functions; lower semi-continuous functions; sub-derivatives; variational principles; distance functions; tangent cones; normals; smooth renorms; Clarke-subdifferentials; G-subdifferentials
- Identifier
- http://hdl.handle.net/1959.13/940910
- Identifier
- uon:13130
- Identifier
- ISSN:0927-6947
- Language
- eng
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