- Title
- On generic second-order Gateaux differentiability
- Creator
- Borwein, J. M.; Fabian, M.
- Relation
- Nonlinear Analysis, Theory, Methods & Applications Vol. 20, Issue 12, p. 1373-1382
- Publisher Link
- http://dx.doi.org/10.1016/0362-546X(93)90166-P
- Publisher
- Pergamon
- Resource Type
- journal article
- Date
- 1993
- Description
- LET f: X → ℝ BE A function on a Banach space X. We say that f is strictly Gateaux differentiable if it is Gateaux differentiable at every point of X and the mapping (x, h) ↦
’(x), h) is continuous. Recall that a convex Gateaux differentiable function is strictly Gateaux differentiable. In the case of a locally Lipschitz function our definition coincides with more standard ones: it requires that f’ be norm to weak-star continuous. - Subject
- separable space; residual space; second-order difference quotient; twice Gateaux differentiability
- Identifier
- http://hdl.handle.net/1959.13/940958
- Identifier
- uon:13141
- Identifier
- ISSN:0362-546X
- Language
- eng
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