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Abstract
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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

Robert C. Powers , Thomas Riedel and Prasanna K. Sahoo

Department of Mathematics, University of Louisville, Louisville 40292, KY, USA

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.