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

Authors : Mahpeyker ÖZTÜRK, Abdurrahman BÜYÜKKAYA

Pages : 210-227

Doi:10.33401/fujma.1107963

View : 17 | Download : 10

Publication Date : 2022-12-01

Article Type : Research Paper

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}\leftinsert ignore into journalissuearticles values( {\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