@Article{JNMA-6-825,
author = {Taleb , Mohammed M.A.Al-Salehi , Saeed A.A. and Borkar , V.C.},
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 = {http://global-sci.org/intro/article_detail/jnma/23365.html}
}