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

Abdlkrim Aliouche; Brian Fisher

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Abdlkrim Aliouche, Brian Fisher. Fixed Point Theorems for Mappings Satisfying an Implicit Relation on Two Complete and Compact Metric Spaces[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1065-1070.

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

Abdlkrim Aliouche¹,
Brian Fisher²

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

Received Date: 2005-08-04
Rev Recd Date: 2006-05-30
Publish Date: 2006-09-15

Abstract

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

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References(2)

References

[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.