Strong convergence theorems of a modified ishikawa iterative algorithm with errors for nonexpansive mappings

Liu, C.; Liu, Lishan

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Authors

Liu, C.

Liu, Lishan

Date

2016

Type

Journal Article

Metadata

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Citation

Liu, C. and Liu, L. 2016. Strong convergence theorems of a modified ishikawa iterative algorithm with errors for nonexpansive mappings. Acta Mathematica Sinica, Chinese Series. 59 (4): pp. 545-560.

Source Title

Acta Mathematica Sinica, Chinese Series

ISSN

0583-1431

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52217

Collection

Curtin Research Publications

Abstract

© 2016, Chinese Academy of Sciences. All right reserved.Under some suitable conditions, we introduce a new modified Ishikawa iterative algorithm with errors for converging strongly to a common element of the set of common fixed points of infinite family of nonexpansive mappings in a reflexive Banach space. The results presented here improve and generalize some known results and an example is given to demonstrate the application of our main results.