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A generalization to parametric metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 19، دوره 14، شماره 1، فروردین 2023، صفحه 229-244 اصل مقاله (427.09 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26832.3420 | ||
| نویسندگان | ||
| Abhishikta Das؛ Tarapada Bag* | ||
| Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, Birbhum, West Bengal, India | ||
| تاریخ دریافت: 22 فروردین 1401، تاریخ بازنگری: 31 مرداد 1401، تاریخ پذیرش: 05 شهریور 1401 | ||
| چکیده | ||
| Following the concept of parametric metric space introduced by N. Hussain et al., the definition of generalized parametric metric space is given. A decomposition theorem from a generalized metric into a family of crisp metrics is established. Another decomposition theorem from a family of the crisp metric into a generalized parametric metric identical to the first one under certain conditions is proved. Some basic results are studied and develop a Banach type fixed point theorem with an application to an integral equation. | ||
| کلیدواژهها | ||
| Parametric metric؛ decomposition theorem؛ metric؛ generalized parametric metric | ||
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