Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations

In this article, we introduce (Formula presented.) -orthogonal interpolative contractions which generalize orthogonal interpolative contractions. We investigate different conditions on the functions (Formula presented.) to show the existence of fixed-points of set-valued (Formula presented.) -orthogonal interpolative contractions. Our fixed point results are improvement of several known results in literature. As an application, we resolve a fractional differential equation.