Approximating fixed points ofα-nonexpansive mappings in uniformly convex Banach spaces andspaces
✍ Scribed by Eskandar Naraghirad, Ngai-Ching Wong, Jen-Chih Yao
- Book ID
- 120735782
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 277 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1820
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📜 SIMILAR VOLUMES
Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K → E be a nonexpansive non-self map with n 1, where { n } and { n } are real sequences in [ , 1 -] for some ∈ (0, 1). ( 1) If the dual E \* of E has the
In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for quasi-nonexpansive mappings under certain conditions.
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