Data Dependence Result and Stability of Jungck-Picard-S Iteration Scheme for Approximating Fixed Point of Jungck-Contraction Mappings

Zeana Zaki Jamil, Assma Khaldoon Abdullateef

Abstract: In this paper, we study the stability of a Jungck-Picard-S iteration method when applied to a pair of Jungck-contraction mappings under certain condition. Furthermore, we prove a data dependence result for fixed point of a pair of Jungck-contraction mappings under certain condition with the help of the Jungck-Picard-S iteration method.

Keywords: Jungck-Picard-S iterative Scheme, Jungck-contraction mappings, Data dependence, Stability