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Original Articles

Convergence and Data Dependency of Normal−S Iterative Method for Discontinuous Operators on Banach Space

, , &
Pages 322-345 | Received 10 Dec 2016, Accepted 01 Aug 2017, Published online: 19 Sep 2017
 

ABSTRACT

We study convergence, rate of convergence and data dependency of normal−S iterative method for a fixed point of a discontinuous operator T on a Banach space. We also prove some Collage type theorems for T. The main aim here is to show that there is a close relationship between the concepts of data dependency of fixed points and the collage theorems and show that the latter provides better estimate. Numerical examples in support of the results obtained are also given.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgements

The authors would like to thank the anonymous reviewers for their comments to improve presentation of the paper. The author A.R. Khan would like to acknowledge

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