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Fixed point theorems for modified generalized F-contraction and F-expansion of Wardowski kind via the notion of $\psi$−fixed point | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 38، دوره 14، شماره 1، فروردین 2023، صفحه 495-504 اصل مقاله (379.63 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24588.2780 | ||
| نویسنده | ||
| Sahil Arora* | ||
| Department of Mathematics, K.R.M.D.A.V. College, Nakodar, Punjab, 144040, India | ||
| تاریخ دریافت: 29 شهریور 1400، تاریخ بازنگری: 08 مهر 1400، تاریخ پذیرش: 14 شهریور 1401 | ||
| چکیده | ||
| In this manuscript, we introduce generalized ($\mathfrak{f^{*}},\psi)$-contraction of kind (S) and use this concept to establish $\psi$-fixed point theorems in the frame of complete metric space. Secondly, we introduce new notion of generalized($\mathfrak{f^{*}}, \psi)$ expansive mapping of kind (S) and utilize the same to prove some fixed point results for surjective mapping satisfying certain conditions. Our results improve the results of [8], [10] and [14] by omitting the continuity condition of $F\in \Im$ with the aid of $\psi$-fixed point. We also give an example which yields the main result. Also, many existing results in the frame of metric spaces are established. | ||
| کلیدواژهها | ||
| Generalized ($\mathfrak{f^{*}}؛ \psi)$-contraction؛ Generalized ($\mathfrak{f^{*}}؛ \psi)$-expansion؛ $\psi$-fixed point؛ Lower semi-continuous function | ||
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