Some new coincidence point results in partial $b$-metric spaces via digraphs, $\mathscr{L}$-simulation and $\theta$-functions
نویسندگان
1 Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), West Bengal, Kolkata 700126, India
2 Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), West Bengal, Kolkata 700126, India
doi
10.22075/ijnaa.2024.34167.5098چکیده
In the present article, we introduce the concept of $(\alpha,\theta,\xi)$-$G$-contractive mappings in partial $b$-metric spaces endowed with a digraph $G$ and discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self mappings satisfying such contractive condition. Our main result will extend several recent results including the well-known Banach contraction theorem. Finally, we exhibit that this extension is viable which will justify the new contractive condition.
