𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive maps in Banach spaces

✍ Scribed by M.O. Osilike; Y. Shehu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
571 KB
Volume
57
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


Convergence theorems for the approximation of common fixed points of a finite family of asymptotically strictly pseudocontractive mappings are proved in Banach spaces using an explicit averaging cyclic algorithm.


πŸ“œ SIMILAR VOLUMES


A new approximation method for common fi
✍ Atichart Kettapun; Amnuay Kananthai; Suthep Suantai πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 326 KB

In this paper, we consider a new iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings. We prove several strong and weak convergence results of the proposed iteration in Banach spaces. These results generalize and refine many known res

Explicit iteration method for common fix
✍ Lin Wang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 211 KB

Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E, which is also a nonexpansive retract of E with nonexpansive retraction P. for some δ ∈ (0, 1). Some strong and weak convergence theorems of {x n } to some q ∈ F are obtained under some suitable conditions i

Common fixed points of new iterations fo
✍ Sornsak Thianwan πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 532 KB

In this paper, we introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for the new two-step iterative scheme in a uniformly convex Banach space.

Approximation of common fixed points for
✍ Somyot Plubtieng; Kasamsuk Ungchittrakool πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 767 KB

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