Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings

Weerayuth Nilsrakoo; Satit Saejung

doi:10.1155/2010/739561

Abstract and Applied Analysis (Jan 2010)

Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings

Weerayuth Nilsrakoo,
Satit Saejung

Affiliations

Weerayuth Nilsrakoo: Department of Mathematics, Statistics, and Computer, Ubon Ratchathani University, Ubon Ratchathani 34190, Thailand
Satit Saejung: Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand

DOI: https://doi.org/10.1155/2010/739561
Journal volume & issue: Vol. 2010

Abstract

Read online

We modify the iterative method introduced by Kim and Xu (2006) for a countable family of Lipschitzian mappings by the hybrid method of Takahashi et al. (2008). Our results include recent ones concerning asymptotically nonexpansive mappings due to Plubtieng and Ungchittrakool (2007) and Zegeye and Shahzad (2008, 2010) as special cases.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal