Directionally Lipschitzian mappings on Baire spaces

Borwein, Jonathan M. and Strojwas, H. M. (1984) Directionally Lipschitzian mappings on Baire spaces. Canadian Journal of Math., 36 . pp. 95-130.

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Studies of optimization problems have led in recent years to definitions of several types of generalized directional derivatives. Those derivatives of primary interest in this paper were introduced and investigated by F. M. Clarke, J. B. Hiriart-Urruty Lebourg, R. T. Rockafellar, Penot, among others. In an attempt to explore in more detail relationships between various types of generalized directional derivatives we discovered some unexpected results which were not observed by the above mentioned authors. We are able to give simple conditions which characterize directionally Lipschitzian functions defined on a Baire metrizable locally convex topological vector space.

Item Type: Article
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 21 Feb 2015 10:17
Last Modified: 21 Feb 2015 10:17

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