Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
WEAK AND STRONG CONVERGENCE THEOREMS FOR GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
Mayumi Hojo, Wataru Takahashi
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Keywords: Hilbert space, hybrid mapping, fixed point, mean ergodic theorem, weak convergence, strong convergence
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2011 Volume 73 Issue 1 Pages 31-40

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Abstract
In this paper, we first obtain a weak mean convergence theorem of Baillon’s type for generalized hybrid mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem of Halpern’s type for generalized hybrid mappings in a Hilbert space.
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© 2011 International Society for Mathematical Sciences
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