C*-algebra valued partial metric space and some fixed point and coincidence point results | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 124، دوره 13، شماره 2، مهر 2022، صفحه 1535-1551 اصل مقاله (408.57 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.23731.2590 | ||
| نویسندگان | ||
| Sushanta Kumar Mohanta* ؛ Priyanka Biswas | ||
| Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), West Bengal, Kolkata 700126, India | ||
| چکیده | ||
| In this paper, we introduce the concept of C*-algebra valued partial metric as a generalization of partial metric and discuss the existence and uniqueness of fixed points for a self mapping defined on a C*-algebra valued partial metric space. We use these results to obtain some coincidence point and common fixed point results in this setting. Some examples are provided to justify our results. | ||
| کلیدواژهها | ||
| Partial metric؛ C*-algebra valued partial metric؛ C*-algebra valued contraction؛ fixed point | ||
| مراجع | ||
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