2003Journal of Jishou UniversityRequires access

Weak Convergence Theorems for Finite Nonexpansive Mappings in Uniformly Convex Banach Space

Xianyun Wang

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Abstract

Through using a new iteration scheme,the problem of finding a common fixed point of finite nonexpansive mappings was considered in a uniformly convex Banach space,some weak convergence theorems were given,which generalized some weak convergence theorems of the Ishikawa iteration sequence with only one operator.

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What this paper is about

Through using a new iteration scheme,the problem of finding a common fixed point of finite nonexpansive mappings was considered in a uniformly convex Banach space,some weak convergence theorems were given,which generalized some weak convergence theorems of the Ishikawa iteration sequence with only one operator.

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Available abstract

Through using a new iteration scheme,the problem of finding a common fixed point of finite nonexpansive mappings was considered in a uniformly convex Banach space,some weak convergence theorems were given,which generalized some weak convergence theorems of the Ishikawa iteration sequence with only one operator.

Key concepts: Banach space, Mathematics, Regular polygon, Convergence (economics), Weak convergence, Sequence (biology), Uniformly convex space, Fixed point

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