Open Access

Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces

Fixed Point Theory and Applications20072007:073246

DOI: 10.1155/2007/73246

Received: 26 December 2006

Accepted: 4 April 2007

Published: 31 May 2007


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.


Authors’ Affiliations

Department of Mathematics, Arts and Science Faculty, Harran University


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© S. Temir and O. Gul. 2007

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