Abstract:
In this paper, we introduce a new three steps iterative process called Jungck-AM
iterative process and show that the proposed iterative process can be used to approximate fixed
points of Jungck-contractive type mappings and Jungck-Suzuki type mappings. In addition, we
establish some strong and ∆-convergence results for the approximation of fixed points of JungckSuzuki type mappings in the frame work of uniformly convex hyperbolic space. Furthermore,
we show that the newly proposed iterative process has a better rate of convergence compare to
the Jungck-Noor, Jungck-SP, Jungck-CR and some existing iterative processes in the literature.
Finally, stability, data dependency results for Jungck-AM iterative process is established and we
present an analytical proof and numerical examples to validate our claim.
