MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Common fixed point results for non-linear contractions in $G$-metric spaces
Hassen Aydi

Abstract

We establish common fixed point results for three self-mappings on a $G$-metric space satisfying non linear contractions. Also, we prove the uniqueness of such common fixed point, as well as studying the $G$-continuity at such point. Our results extend some known works. Also, an example is given to illustrate our obtained results.

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Keywords: $G$-metric space; common fixed point; non-linear contraction; $G$-continuity.

MSC: 47H10, 54H25, 54E35, 54E99

Pages:  204$-$212     

Volume  65 ,  Issue  2 ,  2013