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From weak to strong convergence inL1-spaces viaK-Convergence

✍ Scribed by Erik J. Balder

Book ID
112609289
Publisher
Springer
Year
1993
Tongue
English
Weight
672 KB
Volume
165
Category
Article
ISSN
0373-3114

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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