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关于完备度量空间上4个自映射的公共不动点
COMMON FIXED POINTS OF FOUR MAPPINGS IN A COMPLETE METRIC SPACE
【摘要】 本文通过引进完备度量空间X上两个自映射的拟弱交换的概念,把S.Sessa和B.Fisher在[1]中得到的主要定理3推广到拟弱交换的自映射的情形,它以[1]的定理3作为其特款,同时我们给出适当的例子以说明所作推广的意义.
【Abstract】 By introducing the concept of quasi weak commutativity of two selfmappings in a complete metric space,we establish a common fixed point theorem for four selfmappings of a complete metric space.This result generalizes the main theorem 3 in and suitable examples are given.
【关键词】 弱交换;
拟弱交换;
完备度量空间;
上半连续;
柯西序列;
【Key words】 weak commutativity; quasi weak commutativity; complete metric space; upper semi continuous; Cauchy sequence.;
【Key words】 weak commutativity; quasi weak commutativity; complete metric space; upper semi continuous; Cauchy sequence.;
- 【文献出处】 杭州师范学院学报 ,Journal of Hangzhou Teachers College , 编辑部邮箱 ,1998年06期
- 【分类号】O177,O189.2
- 【被引频次】1
- 【下载频次】22