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Fixed point theorems for generalized orthogonal F-contraction and F-expansion of Wardowski kind via the notion of $\psi-$fixed point | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 19، دوره 14، شماره 2، اردیبهشت 2023، صفحه 221-231 اصل مقاله (410.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27809.3721 | ||
| نویسندگان | ||
| Sahil Arora* 1؛ Monika Masta2؛ Mahender Poonia2 | ||
| 1Department of Mathematics, K.R.M.D.A.V. College, Nakodar, Punjab, 144040, India | ||
| 2Department of Mathematics, Om Sterling Global University, Hisar, Haryana, 125001, India | ||
| تاریخ دریافت: 23 تیر 1401، تاریخ بازنگری: 16 شهریور 1401، تاریخ پذیرش: 20 شهریور 1401 | ||
| چکیده | ||
| In this manuscript, we introduce generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-contraction of kind (S) and use this concept to establish $\psi$-fixed point theorems in the frame of O-complete orthogonal metric space. Secondly, we introduce the new notion of generalized orthogonal ($\mathfrak{f^{*}}, \psi)$ expansive mapping and utilize the same to prove some fixed point results for surjective mapping satisfying certain conditions. Our results extend and improve the results of [3] and [7] by omitting the continuity condition of $F\in \Im$ with the aid of $\psi$-fixed point. We also give an illustrative example which yields the main result. Also, many existing results in the frame of metric spaces are established. | ||
| کلیدواژه‌ها | ||
| Generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-contraction؛ Generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-expansion, $\psi$-fixed point, $\perp$-preserving function, $\perp$-continuous function, Lower semi-continuous function | ||
| مراجع | ||
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