2008Luoyang Shifan Xueyuan xuebaoRequires access

A Fixed Point Theorem on the Weak Contraction Mapping

Zhan Wan-rong

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Abstract

In this paper,the weak contraction mapping is defined.It is proved that several kinds of common contraction mapping are all weak contraction mapping.Finally,a fixed point theorem on the weak compacted mapping is given,thus the weak contraction mapping is general contraction mapping.

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What this paper is about

In this paper,the weak contraction mapping is defined.It is proved that several kinds of common contraction mapping are all weak contraction mapping.Finally,a fixed point theorem on the weak compacted mapping is given,thus the weak contraction mapping is general contraction mapping.

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Available abstract

In this paper,the weak contraction mapping is defined.It is proved that several kinds of common contraction mapping are all weak contraction mapping.Finally,a fixed point theorem on the weak compacted mapping is given,thus the weak contraction mapping is general contraction mapping.

Key concepts: Contraction (grammar), Contraction mapping, Fixed point, Mathematics, Mathematical analysis, Internal medicine, Medicine

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