Journal Article

·2019 OPEN ACCESS

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

Yunus Atalan YTU , Vatan Karakaya YTU

Korean Journal of Mathematics

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

Mathematics Rate of convergence Equivalence (formal languages) Convergence (economics) Fixed point Applied mathematics Fixed-point iteration Process (computing) Pure mathematics Mathematical analysis Computer science

Subject Areas

Fixed Point Theorems Analysis ·Geometry and Topology ·Physical Sciences
Nonlinear Differential Equations Analysis ·Applied Mathematics ·Physical Sciences
Numerical methods for differential equations ·Numerical Analysis ·Physical Sciences

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