Some new coincidence point results in partial $b$-metric spaces via digraphs, $\mathscr{L}$-simulation and $\theta$-functions

	Some new coincidence point results in partial $b$-metric spaces via digraphs, $\mathscr{L}$-simulation and $\theta$-functions
International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 16، شماره 11، بهمن 2025، صفحه 1-16 اصل مقاله (435.26 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34167.5098
نویسندگان
Sushanta Kumar Mohanta^* ؛ Priyanka Biswas
Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), West Bengal, Kolkata 700126, India
چکیده
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.
کلیدواژه‌ها
$\mathscr{L}$-simulation function؛ $\theta$-function؛ weakly compatible maps؛ point of coincidence
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