Abstract and Applied Analysis

A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces

Pornsak Yatakoat and Suthep Suantai

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Abstract

We introduce a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasinonexpansive mappings. Several strong and weak convergence theorems of the proposed iteration in Banach spaces are established. The main results obtianed in this paper generalize and refine many known results in the current literature.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 706587, 15 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620780

Digital Object Identifier
doi:10.1155/2010/706587

Mathematical Reviews number (MathSciNet)
MR2726614

Zentralblatt MATH identifier
1206.47092

Citation

Yatakoat, Pornsak; Suantai, Suthep. A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces. Abstr. Appl. Anal. 2010 (2010), Article ID 706587, 15 pages. doi:10.1155/2010/706587. https://projecteuclid.org/euclid.aaa/1288620780


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