A Fixed Point Theorem on the Weak Contraction Mapping
Zhan Wan-rong
Abstract
Zhan Wan-rong
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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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