Directionally Lipschitzian mappings on Baire spaces

Title: Directionally Lipschitzian mappings on Baire spaces
Creator: Borwein, J. M.; Stròjwas, H. M.
Relation: Canadian Journal of Mathematics Vol. 36, Issue 1, p. 95-130
Publisher Link: http://dx.doi.org/10.4153/CJM-1984-008-7
Publisher: Canadian Mathematical Society
Resource Type: journal article
Date: 1984
Description: 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.
Subject: Lipschitzian; Baire spaces; derivatives
Identifier: http://hdl.handle.net/1959.13/940963
Identifier: uon:13137
Identifier: ISSN:0008-414X
Language: eng
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