๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS

โœ Scribed by Xu, Hong-Kun; Ori, Ramesh G.

Book ID
121279446
Publisher
Taylor and Francis Group
Year
2001
Tongue
English
Weight
142 KB
Volume
22
Category
Article
ISSN
0163-0563

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๐Ÿ“œ SIMILAR VOLUMES

Strong convergence of an implicit iterat
Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings
โœ Zhao-hong Sun ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

In the present paper, we prove that the modified implicit iteration sequence for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semicompact. Our resu

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Convergence of the Ishikawa Iteration Process for Nonexpansive Mappings
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ร„ 4 ร„ 4 ร„ 4 mapping. Given a sequence x in D and two real sequences t and s ร„ 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n ยช ฯฑn n D , X, and T are shown which guarantee the weak and strong convergence of the Ishikawa iteration process to a fixed point of T.

On the convergence theorems of implicit
On the convergence theorems of implicit iteration process for a finite family of -asymptotically nonexpansive mappings
โœ Seyit Temir ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.