Analytical and Numerical Aspect of Coincidence Point Problem of Quasi-Contractive Operators

Faik Gürsoy, Müzeyyen Ertürk, Abdul Rahim Khan, Vatan Karakaya

We propose a new Jungck-S iteration method for a class of quasi-contractive operators on a convex metric space and study its strong convergence, rate of convergence and stability. We also provide conditions under which convergence of this method is equivalent to Jungck--Ishikawa iteration method. Some numerical examples are provided to validate the theoretical findings obtained herein. Our results are refinement and extension of the corresponding ones existing in the current literature.