2003•Acta Analysis Functionalis ApplicataRequires access

Some New Strong Convergence Theorems for Iterative Schemes for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

Chen Dong-qing

Abstract

In the present paper, by virtue of newanalysis technique, we have established a new strong convergence theorem for themodified Mann iteration scheme for a class of asymptotically nonexpansive mappi ngs in uniformly convex Banach spaces. Our results improve the recent ones annou nced by Schu, Rhoades and others.

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Key concepts: Mathematics, Banach space, Regular polygon, Uniformly convex space, Convergence (economics), Pure mathematics, Class (philosophy), Scheme (mathematics)