Multivalued rational type <i>F</i>-contraction on orthogonal metric space

Abstract

&lt;p style='text-indent:20px;'&gt;In this paper, we consider the notion of multivalued rational type &lt;inline-formula&gt;&lt;tex-math id="M1"&gt;\begin{document}$ F- $\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt; contraction mappings and prove fixed point theorems for this type mappings. Also we give an illustrative example.&lt;/p&gt;

Generalized integral type mappings on orthogonal metric spaces

“…Moreover, K. Sawangsup and W. Sintunavarat [15] define the transitive orthogonal set, giving a different perspective to the representation of the uniqueness of the fixed point in orthogonal metric spaces. Also, the reader can see [2,3,9].…”