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Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense

Research paper by Yuan Hecai, Liu Aichao

Indexed on: 27 May '13Published on: 27 May '13Published in: Journal of Inequalities and Applications



Abstract

In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space.MSC:47H09, 47J25.