Approximation of fixed point via new iterative process for generalized nonexpansive mappings in Banach space

Abstract

In this paper, we proved strong and week convergence theorem for our proposed iterative process for class of generalized nonexpansive mappings in uniformly convex Banach space. Finally, we present a numerical example to illustrate that our iterative process is faster than the well known iteration process appeared in the literature, the results obtained in this paper improve, extend the results of [6], [9] and many more in this direction.