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

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

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