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On generic second-order Gateaux differentiability

Borwein, Jonathan M. and Fabian, Marian (1993) On generic second-order Gateaux differentiability. Journal of Nonlinear Analysis: Theory, Methods & Applications, 20 . pp. 1373-1382. ISSN 0362546X

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Abstract

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.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 15 Jan 2015 10:39
Last Modified: 15 Jan 2015 10:39
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1563

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