𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The equivalence between the convergence of modified picard, modified mann, and modified ishikawa iterations

✍ Scribed by S.S. Chang; Y.J. Cho; J.K. Kim

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
546 KB
Volume
37
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

some equivalence conditions between the convergence of modified Picard, modified Mann, and modified Ishikawa iterations for some kinds of nonlinear mappings in Banach spaces are obtained.

πŸ“œ SIMILAR VOLUMES

Strong convergence of the modified Mann
Strong convergence of the modified Mann iterative method for strict pseudo-contractions
✍ Giuseppe Marino; Vittorio Colao; Xiaolong Qin; Shin Min Kang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 627 KB

In this paper, we introduce a modified Mann iterative process for approximating a common fixed point of a finite family of strict pseudo-contractions in Hilbert spaces. We establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and impr