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.
- -orthogonal interpolative contractions
- Fixed point
- complete O-metric space