@Article{JNMA-6-3,
author = {Taleb, Mohammed, M.A. and Saeed, Al-Salehi, A.A. and V.C., Borkar},
title = {New Fixed Point Results over Orthogonal $\mathcal{F}$-Metric Spaces and Application in Second-Order Differential Equations},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {3},
pages = {825--840},
abstract = {<p style="text-align: justify;">In this article, we introduce the notion of cyclic $α$-admissible mapping with respect to $θ$ with its special cases, which are cyclic $α$-admissible
mapping with respect to $θ^∗$ and cyclic $α^∗$-admissible mapping with respect to $θ.$ We present the notion of orthogonal $(αθ−βF)$-rational contraction and
establish new fixed point results over orthogonal $\mathcal{F}$-metric space. The study
includes illustrative examples to support our results. We apply our results to
prove the existence and uniqueness of solutions for second-order differential
equations.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.825},
url = {https://global-sci.com/article/91184/new-fixed-point-results-over-orthogonal-mathcalf-metric-spaces-and-application-in-second-order-differential-equations}
}