Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces

被引：0
|
作者：
Seyit Temir
Ozlem Gul
机构：
[1] Harran University,Department of Mathematics, Arts and Science Faculty
来源：
Fixed Point Theory and Applications | / 2007卷
关键词：
Hilbert Space; Differential Geometry; Computational Biology; Ergodic Theorem;
D O I：
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学科分类号：
摘要：
Let [inline-graphic not available: see fulltext] be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let [inline-graphic not available: see fulltext] be a semigroup on [inline-graphic not available: see fulltext] and let [inline-graphic not available: see fulltext] be an almost orbit of [inline-graphic not available: see fulltext]. In this paper, we prove that every almost orbit of [inline-graphic not available: see fulltext] is almost weakly and strongly convergent to its asymptotic center.
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