Korean J. Math.  Vol 27, No 4 (2019)  pp.929-947
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

Yunus Atalan, Vatan Karakaya

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


iteration process, contractive type operators, hyperbolic spaces.

Subject classification

47H09, 47H10.

Sponsor(s)



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References


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