A New Iterative Method for Nonexpansive Mappings in Banach Space

Abstract

This paper proposes a new iterative method within a Banach space framework for 

approximating fixed points (FPs) of nonexpansive mappings (NE-maps) and 

mappings that satisfy the E-condition (EC-maps). We get some convergence findings 

with appropriate assumptions. Furthermore, the proposed iterative method offers a 

faster convergence rate than a variety of current methods, as evidenced by numerical 

calculations and graphical representations..