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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Vydané v:	Journal of applied mathematics & computing Ročník 32; číslo 2; s. 453 - 464
Hlavní autori:	Zhou, Haiyun, Gao, Gailiang, Tan, Bin
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer-Verlag 01.04.2010
Predmet:	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
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Popis
Shrnutí:	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