Open Access Research Article

Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces

Seyit Temir* and Ozlem Gul

Author Affiliations

Department of Mathematics, Arts and Science Faculty, Harran University, Sanliurfa 63200, Turkey

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Fixed Point Theory and Applications 2007, 2007:073246 doi:10.1155/2007/73246


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2007/1/073246


Received:26 December 2006
Accepted:4 April 2007
Published:31 May 2007

© 2007 Temir and Gul

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.

Let be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let be a semigroup on and let be an almost orbit of . In this paper, we prove that every almost orbit of is almost weakly and strongly convergent to its asymptotic center.

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