A Note on the Paper “Regularization Proximal Point Algorithm for Common Fixed Points of Nonexpansive Mappings in Banach Spaces”
✍ Scribed by Hang, Nguyen Thu; Tuyen, Truong Minh
- Book ID
- 118803977
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 194 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-3239
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📜 SIMILAR VOLUMES
Some sufficient and necessary conditions for the iterative sequence converging to a common fixed points for a family of nonexpansive mappings in Banach spaces are obtained. The results presented in this paper not only give an affirmative answer to Halpern's open question and a partial answer to the
In this paper, we introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for the new two-step iterative scheme in a uniformly convex Banach space.