Convergence Rate of Implicit Iteration Process and a Data Dependence Result
DOI:
https://doi.org/10.29020/nybg.ejpam.v11i1.2911Keywords:
implicit iterations, convergence rate, data dependence.Abstract
The aim of this paper is to introduce an implicit S-iteration processand study its convergence in the framework of W-hyperbolic spaces. We show
that the implicit S-iteration process has higher rate of convergence than implicit Mann type iteration and implicit Ishikawa-type iteration processes. We present a numerical example to support the analytic result proved herein. Finally, we prove a data dependence result for a contractive type mapping using implicit S-iteration process.
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Published
2018-01-30
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Section
Wave Theory
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How to Cite
Convergence Rate of Implicit Iteration Process and a Data Dependence Result. (2018). European Journal of Pure and Applied Mathematics, 11(1), 189-201. https://doi.org/10.29020/nybg.ejpam.v11i1.2911