Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
โ Scribed by Jong Soo Jung; Seon Sik Kim
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 399 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we study boundary conditions for nonexpansive nonself-mappings in a Banach space. Using this, we prove two strong convergence theorems for nonexpansive nonself-mappings in a Banach space without boundary conditions.
In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the corresponding results in the existing literature. Finally, we will state that
In an infinite-dimensional Hilbert space, the normal Mann's iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann's iterative process for an infinite family of nonexpansive mappings in the fra