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Existence of fixed point for generalized weak contraction satisfying rational type expression in partially ordered metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 16 دی 1404 اصل مقاله (350.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.28350.3865 | ||
| نویسندگان | ||
| Joginder Paul* ؛ U.C. Gairola | ||
| Department of Mathematics, H.N.B. Garhwal University, B.G.R. Campus, Pauri-246001, Uttarakhand, India | ||
| تاریخ دریافت: 18 شهریور 1401، تاریخ پذیرش: 14 دی 1403 | ||
| چکیده | ||
| In this paper, we obtain some fixed point theorems of mappings satisfying a generalized rational type weak contractive condition in partially ordered metric spaces. The presented results generalize and extend various fixed point theorems of the literature. We also provide an example which supports our new results, but it contradicts the previously established results. Furthermore, we discuss the application of these results to the existence and uniqueness of solutions for first-order periodic boundary value problems arising in ordinary differential equations. | ||
| کلیدواژهها | ||
| Fixed point؛ Generalized weak contraction؛ Rational type؛ Ordered metric spaces | ||
| مراجع | ||
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