✦ LIBER ✦

Convergence theorems of implicit iterative sequences for a finite family of asymptotically quasi-nonexpansive type mappings

✍ Scribed by Jong Kyu Kim; Young Man Nam; Jae Yull Sim

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 311 KB
Volume: 71
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.06.090

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the convergence theorems of implicit

On the convergence theorems of implicit iteration process for a finite family of -asymptotically nonexpansive mappings

✍ Seyit Temir 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 517 KB

In this paper, we consider the weak and strong convergence of implicit iteration process to a common fixed point of I-asymptotically nonexpansive mappings. The main results extend to a finite family of I-asymptotically nonexpansive mappings in a Banach space.

On the strong convergence of the implici

On the strong convergence of the implicit iterative processes with errors for a finite family of asymptotically nonexpansive mappings

✍ Weiping Guo; Yeol Je Cho 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 211 KB

The purpose of this work is to study the sufficient and necessary conditions and sufficient conditions on the strong convergence of the implicit iteration process with errors for a finite family of asymptotically nonexpansive mappings in real uniformly convex Banach spaces. The results presented in

Strong convergence of an implicit iterat

Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings

✍ C.E. Chidume; Naseer Shahzad 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 169 KB

On the strong convergence of the implici

On the strong convergence of the implicit iterative processes for a finite family of relatively weak quasi-nonexpansive mappings

✍ Gang Cai; Chang song Hu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 418 KB

In this paper, we prove that the modified implicit iteration sequence for a finite family of relatively weak quasi-nonexpansive mappings converges strongly to a common fixed point of the family in the framework of Banach spaces. Our results improve and extend the results announced by many others.

Convergence of a general iterative schem

Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications

✍ Abdul Rahim Khan; M.A. Ahmed 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 268 KB

In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-uddin (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we

A general iterative method for a finite

A general iterative method for a finite family of nonexpansive mappings

✍ Yonghong Yao 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 183 KB

We study the approximation of common fixed points of a finite family of nonexpansive mappings and suggest a modification of the iterative algorithm without the assumption of any type of commutativity. Also we show that the convergence of the proposed algorithm can be proved under some types of contr