On Some Fixed Point Theorems for $\mathcal{G} (\Sigma, \vartheta, \Xi )-$Contractions in Modular $b-$Metric Spaces

Year 2022, , 210 - 227, 01.12.2022

Mahpeyker Öztürk , Abdurrahman Büyükkaya

https://doi.org/10.33401/fujma.1107963

Abstract

This article aims to specify a new $C-$class function endowed with altering distance and ultra altering distance function via generalized $\Xi -$contraction, which is called the $\mathcal{G}\left( {\Sigma ,\vartheta ,\Xi } \right) - $contraction in modular $b-$metric spaces. Regarding these new contraction type mappings, the study includes some existence and uniqueness theorems, and to indicate the usability and productivity of these results, some applications related to integral type contractions and an application to the graph structure.

Keywords

Common fixed point, $C-$class function, Modular $b-$metric space

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