Strong convergence theorem for a family of Lipschitz pseudocontractive mappings in a Hilbert space
โ Scribed by Qing-bang Zhang; Cao-zong Cheng
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 190 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-7177
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๐ SIMILAR VOLUMES
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.
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