Applied Mathematics and Mechanics (English Edition) ›› 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

Abdlkrim Aliouche, Brian Fisher   

    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:2005-08-04 Revised:2006-05-30 Online:2006-09-18 Published:2006-09-18
  • Contact: Abdlkrim Aliouche

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

2010 MSC Number: 

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