DOI: https://doi.org/10.11568/kjm.2019.27.4.929

### Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process

#### Abstract

In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give non-trivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

#### Keywords

#### Subject classification

47H09, 47H10.#### Sponsor(s)

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