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Weak and strong convergence theorems for

โœ Scribed by Jing Zhao; Songnian He


Book ID
107619893
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
284 KB
Volume
32
Category
Article
ISSN
1598-5865

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In this paper, we first obtain a weak mean convergence theorem of Baillon's type for nonspreading mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem for nonspreading mappings in a Hilbert space.

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Weak and strong convergence theorems are proved in real Hilbert spaces for a new class of nonspreading-type mappings more general than the class studied recently in Kurokawa and Takahashi [Y. Kurokawa, W. Takahashi, Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces, No