Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces
Junaid Jameel Ahmad, Kifayat Ullah, Hüseyin Işık, Muhammad Arshad, Manuel De la Sen · Advances in Mathematical Physics · 2021
We consider the class of mappings endowed with the condition E in a nonlinear domain called 2-uniformly convex hyperbolic space. We provide some strong and Δ -convergence theorems for this class of mappings under the Agarwal iterative process. In order to support the main outcome, we procure an example of mappings endowed with the condition E and prove that its Agarwal iterative process is more effective than Mann and Ishikawa iterative processes. Simultaneously, our results hold in uniformly convex Banach, CAT(0), and some CAT( κ ) spaces. This approach essentially provides a new setting for researchers who are working on the iterative procedures in fixed point theory and applications.