Abstract:
In this paper, we introduce a new lass of generalized mean nonexpansive mappings and propose an iterative algorithm for approximating the xed points of this lass of mappings in the frame work of uniformly convex Banah spaces. We establish some xed point results for this lass of mappings and prove the convergene of the propose iterative algorithm. Finally, a numerical experiment is presented to demonstrate the e ieny of our algorithm in comparison with other existing algorithms in literature.