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In this paper, we study asymptotically quasi-φnonexpansive mappings in the intermediate sense and Ky Fan inequalities. A convergence theorem is established in a strictly convex and uniformly smooth Banach space. The results presented in the paper improve and extend some recent results. c ©2016 All rights reserved.

Some results on asymptotically quasi-phi-nonexpansive mappings in the intermediate sense and Ky Fan inequalities