A Common Fixed-point Theorem of Mappings on S-metric Spaces

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.

Fixed-Points of Expansive Mappings in Supermetric Spaces

“…We prove some fixed-point theorems for expansive mapping in super metric space. Our findings extend the expansions of the metric space to a super metric space by Daffer and Kaneko [2] and [1].…”