%0 Journal Article
%T Fixed point theorems for generalized orthogonal F-contraction and F-expansion of Wardowski kind via the notion of $\psi-$fixed point
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Arora, Sahil
%A Masta, Monika
%A Poonia, Mahender
%D 2023
%\ 02/01/2023
%V 14
%N 2
%P 221-231
%! Fixed point theorems for generalized orthogonal F-contraction and F-expansion of Wardowski kind via the notion of $\psi-$fixed point
%K Generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-contraction
%K Generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-expansion, $\psi$-fixed point, $\perp$-preserving function, $\perp$-continuous function, Lower semi-continuous function
%R 10.22075/ijnaa.2022.27809.3721
%X 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 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.
%U https://ijnaa.semnan.ac.ir/article_6906_891bdaa79ae89032c3da219b72299250.pdf