Approximation Methods for a Common Fixed Point of a Finite Family of Nonexpansive Mappings
โ Scribed by Zegeye, Habtu; Shahzad, Naseer
- Book ID
- 121328360
- Publisher
- Taylor and Francis Group
- Year
- 2007
- Tongue
- English
- Weight
- 137 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0163-0563
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Let K be a nonempty closed convex subset of a real reflexive Banach space E that has weakly continuous duality mapping J ฯ for some gauge ฯ. Let T i : K โ K , i = 1, 2, . . . , be a family of quasi-nonexpansive mappings with F := โฉ iโฅ1 F(T i ) = โ which is a sunny nonexpansive retract of K with Q a
Some sufficient and necessary conditions for the iterative sequence converging to a common fixed points for a family of nonexpansive mappings in Banach spaces are obtained. The results presented in this paper not only give an affirmative answer to Halpern's open question and a partial answer to the