在两个完备紧致度量空间上满足隐含关系映射的不动点定理

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Fixed Point Theorems for Mappings Satisfying an Implicit Relation on Two Complete and Compact Metric Spaces

1.
Department of Mathematics, University of Lari Ben M'Hidi, Oum EI Bouaghi 04000, Algria;

摘要: 首先给出了隐含关系函数，证明了满足隐含关系函数的两个映射的公共不动点定理，进一步证明了两个紧致度量空间上满足隐含关系函数的不动点定理．
- 完备度量空间 /
- 紧致度量空间 /
- 不动点 /
- 隐含关系
Abstract: First, the implicit relations were given. A common fixed point theorem was proved for two mappings satisfying implicit relation functions. A further fixed point theorem was proved for mappings satisfying implicit relation functions on two compact metric spaces.
- complete metric space /
- compact metric space /
- fixed points /
- implicit relation

[1]	M·特尔西.完备和紧度量空间中的不动点[J].应用数学和力学，2001，22(5)：499—503.
[2]	Fisher B.Fixed point on two metric spaces[J].Glasnik Mat,1981,16(36):333—337.