TY - JOUR
ID - 7380
TI - Some $\psi-$fixed point theorems of Wardowski kind in $\mathcal{G}$-metric spaces with application to integral equations
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Arora, Sahil
AD - Department of Mathematics, K.R.M.D.A.V. College, Nakodar-144040, Punjab, India
Y1 - 2023
PY - 2023
VL - 14
IS - 6
SP - 335
EP - 343
KW - Generalized ($\mathfrak{f^{*}}
KW - \psi)$-contraction
KW - $\mathcal{G}$-metric space
KW - $\psi$-fixed point
KW - Lower semi-continuous function
KW - Integral equation
DO - 10.22075/ijnaa.2023.22753.2412
N2 - In this manuscript, we introduce new notions of generalized ($\mathfrak{f^{*}}, \psi)$-contraction and utilize this concept to prove some fixed point results for lower semi-continuous $\psi$-mapping satisfying certain conditions in the frame of G-metric spaces. Our results improve the results of [6] and [8] by omitting the continuity condition of $F\in \Im$ with the aid of the $\psi$-fixed point. We give an illustrative example to help accessibility of the got results and to show the genuineness of our results. Also, many existing results in the frame of metric spaces are established. Moreover, as an application, we employ the achieved result to earn the existence and uniqueness criteria of the solution of a type of non-linear integral equation.
UR - https://ijnaa.semnan.ac.ir/article_7380.html
L1 - https://ijnaa.semnan.ac.ir/article_7380_03059497af3cf70dd6273afea7754056.pdf
ER -