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2014•Journal of Inequalities and ApplicationsOpen access

Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces

Zhou Yu, Haiyun Zhou, Peiyuan Wang

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Abstract

This paper is concerned with a new method to prove the weak convergence of a strictly pseudo-contractive mapping in a p -uniformly convex Banach space with more relaxed restrictions on the parameters. Our results extend and improve the corresponding earlier results. MSC: 41A65, 47H17, 47J20.

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What this paper is about

This paper is concerned with a new method to prove the weak convergence of a strictly pseudo-contractive mapping in a p -uniformly convex Banach space with more relaxed restrictions on the parameters. Our results extend and improve the corresponding earlier results. MSC: 41A65, 47H17, 47J20.

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Available abstract

This paper is concerned with a new method to prove the weak convergence of a strictly pseudo-contractive mapping in a p -uniformly convex Banach space with more relaxed restrictions on the parameters. Our results extend and improve the corresponding earlier results. MSC: 41A65, 47H17, 47J20.

Key concepts: Mathematics, Banach space, Uniformly convex space, Regular polygon, Convergence (economics), Pure mathematics, Iterative and incremental development, Eberlein–Šmulian theorem

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