We introduce the class of Ξ±-nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for Ξ±nonexpansive mappings in uniformly convex Banach
β¦ LIBER β¦
Regularization Proximal Point Algorithm for Common Fixed Points of Nonexpansive Mappings in Banach Spaces
β Scribed by Truong Minh Tuyen
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 495 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0022-3239
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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