TY - JOUR
ID - 6906
TI - Fixed point theorems for generalized orthogonal F-contraction and F-expansion of Wardowski kind via the notion of $\psi-$fixed point
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Arora, Sahil
AU - Masta, Monika
AU - Poonia, Mahender
AD - Department of Mathematics, K.R.M.D.A.V. College, Nakodar, Punjab, 144040, India
AD - Department of Mathematics, Om Sterling Global University, Hisar, Haryana, 125001, India
Y1 - 2023
PY - 2023
VL - 14
IS - 2
SP - 221
EP - 231
KW - Generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-contraction
KW - Generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-expansion, $\psi$-fixed point, $\perp$-preserving function, $\perp$-continuous function, Lower semi-continuous function
DO - 10.22075/ijnaa.2022.27809.3721
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_6906.html
L1 - https://ijnaa.semnan.ac.ir/article_6906_891bdaa79ae89032c3da219b72299250.pdf
ER -