FIXED POINT THEOREMS FOR MAPPINGS SATISFYING IMPLICIT RELATION ON TWO COMPLETE AND COMPACT METRIC SPACES

Abdlkrim Aliouche;Brian Fisher

doi:10.1007/s10483-006-0908-z

Applied Mathematics and Mechanics >

2006 , Vol. 27 >Issue 9: 1217 - 1222

DOI: https://doi.org/10.1007/s10483-006-0908-z

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FIXED POINT THEOREMS FOR MAPPINGS SATISFYING IMPLICIT RELATION ON TWO COMPLETE AND COMPACT METRIC SPACES

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1. Department of Mathematics, University of Lari Ben M'Hidi, Oum EI Bouaghi, 04000, Algria;
2. Department of Mathematics, University of Leicester, Leicester, LE1 7RH, U. K.

Received date: 2005-08-04

Revised date: 2006-05-30

Online published: 2006-09-18

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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.

Key words： complete metric space; compact metric space; fixed points; implicit relation

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Abdlkrim Aliouche;Brian Fisher . FIXED POINT THEOREMS FOR MAPPINGS SATISFYING IMPLICIT RELATION ON TWO COMPLETE AND COMPACT METRIC SPACES[J]. Applied Mathematics and Mechanics, 2006 , 27(9) : 1217 -1222 . DOI: 10.1007/s10483-006-0908-z

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