2005•Acta Analysis Functionalis ApplicataRequires access

The Problem of Convergence for Strictly Asymptotically Pseudocontractive Mappings in Banch Spaces

Liang-Gen Hu

Abstract

This paper adopts a new proof method to study the convergence problems of the modified Mann and Ishikawa iterative process with errors for strictly asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The bounded of the domain and range can be not required, and the iterative coefficient be more easy.

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Key concepts: Banach space, Mathematics, Convergence (economics), Regular polygon, Bounded function, Iterative and incremental development, Applied mathematics, Domain (mathematical analysis)