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

doi:10.1007/s10483-006-0908-z

Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (9): 1217-1222 .doi: https://doi.org/10.1007/s10483-006-0908-z

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

收稿日期:2005-08-04 修回日期:2006-05-30 出版日期:2006-09-18 发布日期:2006-09-18

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

摘要/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.

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

中图分类号:

. FIXED POINT THEOREMS FOR MAPPINGS SATISFYING IMPLICIT RELATION ON TWO COMPLETE AND COMPACT METRIC SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(9): 1217-1222 .

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

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

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

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