2009•Unpublished venueRequires access

Strong Convergence Theorems for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

Ping Zhao, Lin Wang

Abstract

In this paper, an implicit iteration method for asymptotically nonexpansive mapping is introduced and strong convergence theorems of this implicit iterative scheme to a fixed point of asymptotically nonexpansive mapping are obtained in uniformly convex Banach spaces. Mathematics Subject Classifications: 47H09, 47J25

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