A Common Fixed-point Theorem of Mappings on S-metric Spaces
Asian Journal of Probability and Statistics · pp. 40–45 · Published 11 Oct 2022
10.9734/ajpas/2022/v20i2417Abstract
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.
References (7)
- 1 A generalization of fixed point theorems in $S$-metric spaces
- 2 Fixed Point Theorems in S-Metric Spaces [DOI]
- 3 Some Properties of S-metric Spaces and Fixed Point Results [DOI]
- 4 FIXED POINT THEOREMS IN S-METRIC SPACES [DOI]
- 5 Some Fixed Point Results in S-Metric Spaces [DOI]
- 6 A General Fixed Point Theorem for Mappings Satisfying a Cyclical Contractive Condition in S-Metric Spaces [DOI]
- 7 Some New Results on Equivalent Cauchy Sequences and Their Applications to Meir-Keeler Contraction in Partial Rectangular Metric Space [DOI]
Cited by 6
Nihal Taş, Irshad Ayoob, Nabil Mlaiki · AIMS Mathematics · 2023
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