Abstract and Applied Analysis

Parallel and Cyclic Algorithms for Quasi-Nonexpansives in Hilbert Space

Bin-Chao Deng, Tong Chen, and Baogui Xin

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Abstract

Let { T } i = 1 N be N quasi-nonexpansive mappings defined on a closed convex subset C of a real Hilbert space H. Consider the problem of finding a common fixed point of these mappings and introduce the parallel and cyclic algorithms for solving this problem. We will prove the strong convergence of these algorithms.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 218341, 27 pages.

Dates
First available in Project Euclid: 28 March 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364475841

Digital Object Identifier
doi:10.1155/2012/218341

Mathematical Reviews number (MathSciNet)
MR2975308

Zentralblatt MATH identifier
1253.65080

Citation

Deng, Bin-Chao; Chen, Tong; Xin, Baogui. Parallel and Cyclic Algorithms for Quasi-Nonexpansives in Hilbert Space. Abstr. Appl. Anal. 2012 (2012), Article ID 218341, 27 pages. doi:10.1155/2012/218341. https://projecteuclid.org/euclid.aaa/1364475841


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