New Fixed Point Results over Orthogonal F-Metric Spaces and Application in Second-Order Differential Equations.

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 (α θ - β F) -rational contraction and establish new fixed point results over orthogonal 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. [ABSTRACT FROM AUTHOR]