New Generalized Fixed Point Results on $S_{b}$-Metric Spaces

Authors : Nihal TAŞ, Nihal ÖZGÜR

Pages : 24-32

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Publication Date : 2021-04-28

Article Type : Research Paper

Abstract :Recently $S_{b}$-metric spaces have been introduced as the generalizations of metric and $S$-metric spaces. In this paper, we generalize the classical Banach`s contraction principle using the theory of a complete $S_{b}$-metric space. Also, we give an application to linear equation systems using the $S_{b}$-metric generated by a metric.
Keywords : S b metric space, fixed point, Banach`s contraction principle, linear equation