\varphi-FIXED POINT RESULTS IN METRIC SPACES WITH AN APPLICATION

In this article, we present -fixed point results using \left(\mathcal{F}^{\#}, \varphi\right) contraction in metric spaces, thereby deriving several corollaries from established results. We provide appropriate non-trivial examples to substantiate the derived results, which have been verified through program codes and graphically explained. Additionally, these results have been applied to find analytical solutions to boundary value problems.