Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings

Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings

Using the implicit iteration and the hybrid method in mathematical programming, we prove weak and strong convergence theorems for finding common fixed points of a countable family of nonexpansive mappings in a real Hilbert space. Our results include many convergence theorems by Xu and Ori (2001) and...

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Bibliographic Details
Main Authors: Satit Saejung, Weerayuth Nilsrakoo, Kittikorn Nakprasit
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2008/732193

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