Convergence theorems of a modified hybrid algorithm for a family of quasi-φ-asymptotically nonexpansive mappings

The purpose of this article is to propose a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi- φ -asymptotically nonexpansive mappings. The results of this paper improve and extend the results of S. Matsushita and W. Takahashi (J. Approx. Theory, 134: 2...

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Bibliographic Details
Published in:	Journal of applied mathematics & computing Vol. 32; no. 2; pp. 453 - 464
Main Authors:	Zhou, Haiyun, Gao, Gailiang, Tan, Bin
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.04.2010
Subjects:	Computational Mathematics and Numerical Analysis Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Theory of Computation Modified hybrid projection iteration algorithm 47H10 Closed mapping Generalized projection 47H09 asymptotically nonexpansive mapping Strong convergence theorem Asymptotically regular mapping Quasi
ISSN:	1598-5865, 1865-2085
Online Access:	Get full text
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Summary:	The purpose of this article is to propose a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi- φ -asymptotically nonexpansive mappings. The results of this paper improve and extend the results of S. Matsushita and W. Takahashi (J. Approx. Theory, 134: 257–266 ( 2005 )), T.H. Kim, H.K. Xu (Nonlinear Anal. 64: 1140–1152 ( 2006 )), Y.F. Su, D.X. Wang, M.J. Shang (Fixed Point Theory Appl. 2008: 284613 ( 2008 )) and others.
ISSN:	1598-5865 1865-2085
DOI:	10.1007/s12190-009-0263-4