Approximating Fixed Points of Non-Lipschitzian Mappings by Metric Projections
Hossein Dehghan, Amir Gharajelo, Davood Afkhamitaba · Fixed Point Theory and Applications · 2011
Abstract We define and study a new iterative algorithm inspired by Matsushita and Takahashi (2008). We establish a strong convergence theorem of the proposed algorithm for asymptotically nonexpansive in the intermediate sense mappings in uniformly convex and smooth Banach spaces by using metric projections. This theorem generalizes and refines Matsushita and Takahashi's strong convergence theorem which was established for nonexpansive mappings.