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

Published: 31 May 2007

Abstract

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.