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

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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Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

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