Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces
Department of Mathematics, Arts and Science Faculty, Harran University, Sanliurfa 63200, Turkey
Fixed Point Theory and Applications 2007, 2007:073246 doi:10.1155/2007/73246Published: 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.