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The equivalence between the convergence of Ishikawa and Mann iterations with errors for strongly successively pseudocontractive mappings without Lipschitzian assumption
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2007, Vol. 325 Issue 1, p586-594. 9p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we prove some new equivalences between convergence of the Ishikawa and Mann iteration sequences with errors in two schemes by Xu [Y.G. Xu, Ishikawa and Mann iteration process with errors for nonlinear strongly accretive operator equations, J. Math. Anal. Appl. 224 (1998) 91–101] and Liu [L.S. Liu, Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces, J. Math. Anal. Appl. 194 (1995) 114–125], respectively, for strongly successively pseudocontractive mappings. Our main results improve and extend the corresponding results of the all references listed in this article. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*PARTIAL differential equations
*COMPLEX variables
*BANACH spaces
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 325
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22935286
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.02.010