Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces

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作者
Seyit Temir
Ozlem Gul
机构
[1] Harran University,Department of Mathematics, Arts and Science Faculty
关键词
Hilbert Space; Differential Geometry; Computational Biology; Ergodic Theorem;
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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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