Fixed point results for generalized multivalued orthogonal <i>α</i>-<i>F</i>-contraction of integral type mappings in orthogonal metric spaces

Abstract In the present article, we introduce a new type of generalized multivalued orthogonal α - F contraction integral mappings in context metric spaces and establish some fixed point results. We construct an example to show existence this work. Our results substantially unify, generalize complement comparable existing literature. As application our results, derive periodic for single valued -contraction spaces.