完备凸度量空间中(次)相容和集值广义非扩张映象的公共不动点定理

刘立山

完备凸度量空间中(次)相容和集值广义非扩张映象的公共不动点定理

刘立山

曲阜师范大学数学系

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- 文章访问数: 2755
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- 被引次数: 0
出版历程
- 收稿日期: 1989-05-22
- 刊出日期: 1993-07-15

Common Fixed Point Theorems for(sub) Compatible and Set-Valued Generalized Nonexpansive Mappings in Complete Convex Metric Spaces

Liu Li-shan

Department of Mathematics, Qufu Normal University, Qufu

摘要

摘要: 本文在完备凸度量空间中,利用集值和单值映象(次)相容的一些条件,建立了数值广义非扩张映象存在公共不动点的一个充要条件和一个充分条件.我们的结果改进、扩充和发展了文[2～7]中的主要结果.
- 凸度量空间 /
- (次)相容映象 /
- 集值广义非扩张映象 /
- 公共不动点
Abstract: In this paper,using some conditions of(sub) compatibility between a set-valued mapping and a Single-valued mapping,we establish a necessary and sufficient condition and a sufficient condition for set-valued generalized nonexpansive mappings to have a unique common fixed point in complete convex metric spaces.The results improve,extend and develop the main results in [2-7].
- convex metric spaces /
- (sub) compatible mapping /
- set-valued generalized nonexpansive mapping /
- common fixed points

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参考文献(17)

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