%0 Journal Article
%T Fixed point theorems for modified generalized 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
%D 2023
%\ 01/01/2023
%V 14
%N 1
%P 495-504
%! Fixed point theorems for modified generalized F-contraction and F-expansion of Wardowski kind via the notion of $\psi$−fixed point
%K Generalized ($\mathfrak{f^{*}}
%K \psi)$-contraction
%K Generalized ($\mathfrak{f^{*}}
%K \psi)$-expansion
%K $\psi$-fixed point
%K Lower semi-continuous function
%R 10.22075/ijnaa.2022.24588.2780
%X 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.
%U https://ijnaa.semnan.ac.ir/article_6873_df3ffaf0f4dd1393eb87539d68b28264.pdf