Stability and convergence of modified Ishikawa iterative sequences with errors in Banach spaces

S. S. Chang; W. H. J. Lee; K. K. Tan

doi:10.1007/s10474-006-0022-z

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Acta Mathematica Hungarica

Volume/Issue:: Volume 110: Issue 4

Stability and convergence of modified Ishikawa iterative sequences with errors in Banach spaces

Authors:

S. S. Chang

S. S. Chang Department of Mathematics, Sichuan University Chengdu, Sichuan 610064, China Chengdu, Sichuan 610064, China

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W. H. J. Lee

W. H. J. Lee Department of Applied Mathematics, The Hong Kong Polytechnic University Kowloon, Hong Kong Kowloon, Hong Kong

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, and

K. K. Tan

K. K. Tan Department of Mathematics and Statistics, Dalhousie University Halifax, Nova Scotia, Canada Halifax, Nova Scotia, Canada

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Pages:: 267–285

Online Publication Date:: 08 Feb 2006

Publication Date:: 13 Mar 2006

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10474-006-0022-z

Keywords:: modified Ishikawa iterative sequence with errors; asymptotically nonexpansive mapping in the intermediate sense; asymptotically pseudo-contractive mapping; uniformly Lipschitzian mapping; Kato inequality; T-stability; almost T-stability; weak T-stability

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Summary

Some stability and convergence theorems of the modified Ishikawa iterative sequences with errors for asymptotically nonexpansive mapping in the intermediate sense and asymptotically pseudo contractive and uniformly Lipschitzian mappings in Banach spaces are obtained.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)