SOME FIXED POINT RESULTS FOR QUASI-STRICTLY CONTRACTIVE OPERATORS IN HYPERBOLIC SPACES

Abstract

In this paper, we propose a two step iterative algorithm to approximate the common fixed point of three quasi-strictly contractive operators on a hyperbolic space. We study the convergence criteria of the mentioned algorithm under some mild conditions. Furthermore, a data dependence result for the common fixed point of the three quasi-strictly contractive operators is obtained. Some numerical examples are given to illustrate the efficiency and the performance of the newly introduced iterative algorithm. Our results may be considered as an improvement and complement of the previously known results.