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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 | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 11 دی 1403 اصل مقاله (435.4 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 | ||
| تاریخ دریافت: 28 اردیبهشت 1403، تاریخ بازنگری: 26 خرداد 1403، تاریخ پذیرش: 11 تیر 1403 | ||
| 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 | ||
| مراجع | ||
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