On Gâteaux Differentiability of Convex Functions in WCG Spaces
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AbstractIt is shown, using the Borwein–Preiss variational principle that for every continuous convex function f on a weakly compactly generated space X, every x0 ∈ X and every weakly compact convex symmetric set K such that , there is a point of Gâteaux differentiability of f in x0 +K. This extends a Klee's result for separable spaces.
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1976 ◽
Vol 19
(1)
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pp. 7-12
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1992 ◽
Vol 114
(4)
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pp. 905-905
1972 ◽
Vol 6
(1)
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pp. 133-144
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1990 ◽
Vol 147
(2)
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pp. 531-544
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1984 ◽
Vol 37
(3)
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pp. 358-365
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