In this paper, we prove a strong convergence theorem by the hybrid method for a countable family of relatively nonexpansive mappings in a Banach space. We also establish a new control condition for the sequence of mappings {T n } which is weaker than the control condition in Lemma 3.1 of Aoyama et a
โฆ LIBER โฆ
Hybrid algorithm for fixed points of weak relatively nonexpansive mappings and applications
โ Scribed by Jinlong Kang; Yongfu Su; Xin Zhang
- Publisher
- Elsevier
- Year
- 2010
- Tongue
- English
- Weight
- 347 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1751-570X
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E be a uniformly convex Banach space, K a nonempty closed convex subset of E and T : K -K an asymptotically nonexpansive mapping with a nonempty fixed-point set. Weak and strong convergence theorems for the iterative approximation of fixed points of T are proved. Our results show that the boundednes