Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces
β Scribed by Naseer Shahzad; Aniefiok Udomene
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 143 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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
In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita and Takahashi [S. Matsushita, W. Takahas