Flett's mean value theorem in topological vector spaces

We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.

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Bibliographic Details
Main Authors: Robert C. Powers, Thomas Riedel, Prasanna K. Sahoo
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120101078X
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Description
Summary:We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.
ISSN:0161-1712
1687-0425