Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682214220230201Fixed point theorems for generalized orthogonal F-contraction and F-expansion of Wardowski kind via the notion of $\psi-$fixed point221231690610.22075/ijnaa.2022.27809.3721ENSahil AroraDepartment of Mathematics, K.R.M.D.A.V. College, Nakodar, Punjab, 144040, IndiaMonika MastaDepartment of Mathematics, Om Sterling Global University, Hisar, Haryana, 125001, IndiaMahender PooniaDepartment of Mathematics, Om Sterling Global University, Hisar, Haryana, 125001, IndiaJournal Article20220714In 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 ofÂ [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.https://ijnaa.semnan.ac.ir/article_6906_891bdaa79ae89032c3da219b72299250.pdf