Nonlinear ergodic theorems for a semitopological semigroup of non-Lipschitzian mappings without convexity

Let G be a semitopological semigroup, C a nonempty subset of a real Hilbert space H, and ℑ={Tt:t∈G} a representation of G as asymptotically nonexpansive type mappings of C into itself. Let L(x)={z∈H:infs∈Gsupt∈G‖Tts x−z‖=inft∈G‖Tt x−z‖} for each x∈C and L(ℑ)=∩x∈C L(x). In this paper, we prove that ∩...

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Bibliographic Details
Main Authors: G. Li, J. K. Kim
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337599000056
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