International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 11, Pages 689-694
doi:10.1155/S016117120101078X
Flett's mean value theorem in topological vector spaces
Department of Mathematics, University of Louisville, Louisville 40292, KY, USA
Received 23 August 2000; Revised 22 February 2001
Copyright © 2001 Robert C. Powers et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.