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Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces

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.

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Correspondence to Seyit Temir.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Temir, S., Gul, O. Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces. Fixed Point Theory Appl 2007, 073246 (2007). https://doi.org/10.1155/2007/73246

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  • DOI: https://doi.org/10.1155/2007/73246

Keywords

  • Hilbert Space
  • Differential Geometry
  • Computational Biology
  • Ergodic Theorem