Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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INVESTIGATION OF SOME FIXED POINT THEOREMS IN HYPERBOLIC SPACES FOR A THREE STEP ITERATION PROCESS

  • Atalan, Yunus (Department of Mathematics Aksaray University) ;
  • Karakaya, Vatan (Department of Mathematical Engineering Yildiz Technical University)
  • Received : 2019.05.02
  • Accepted : 2019.11.16
  • Published : 2019.12.30
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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 nontrivial 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.

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References

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