Common fixed point results for non-linear contractions in $G$-metric spaces

Authors

  • Hassen Aydi Université de Sousse, Institut Supérieur d'Informatique et des Technologies de Communication de Hammam Sousse, Route GP1-4011, H. Sousse, Tunisie Author

Keywords:

$G$-metric space, common fixed point, non-linear contraction, $G$-continuity

Subjects:

47H10, 54H25, 54E35, 54E99

Abstract

We establish common fixed point results for three self-mappings ona $G$-metric space satisfying non linear contractions. Also, weprove the uniqueness of such common fixed point, as well asstudying the $G$-continuity at such point. Our results extend someknown works. Also, an example is given to illustrate our obtained results.

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Published

2013-04-15

Issue

Vol. 65 No. 2 (2013): Vol. 65, Issue 2

Section

Articles

License

Copyright (c) 2013 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.