A Common Fixed-point Theorem of Mappings on S-metric Spaces
Siditë Duraj *
Department of Mathematics, University of Shkodra “Luigj Gurakuqi” , Shkodër, Albania.
Silvana Liftaj
Department of Mathematics, University “Aleksandër Mosiu”, Durrës, Albania.
*Author to whom correspondence should be addressed.
Abstract
Fixed Point Theory is developed during the years by generalizing various types of contractions or changing the axioms of metric spaces. The S-metric spaces extend the concept of metric spaces since the determination of axioms of S-metric are more general. In this paper, we prove a common fixed-point theorem of two mappings in S-metric space. The theorem uses an implicit contractive condition, based on functions of class F6. With the change of the form of the functions of class F6 , we obtain different results for common fixed points of two functions.
Keywords: S-metric space, common fixed point, contractive condition, function of class F6, weakly compatible mappings