Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces
Junaid Jameel Ahmad, Kifayat Ullah, Muhammad Arshad, Manuel De la Sen · Journal of Function Spaces · 2021
We connect the F iteration process with the class of generalized α -nonexpansive mappings. Under some appropriate assumption, we establish some weak and strong convergence theorems in Banach spaces. To show the numerical efficiency of our established results, we provide a new example of generalized α -nonexpansive mappings and show that its F iteration process is more efficient than many other iterative schemes. Our results are new and extend the corresponding known results of the current literature.