On multivalued $\perp_{\psi F}$-contractions on generalized orthogonal sets with an application to integral inclusions

We study existence of fixed points for multivalued $\perp_{\psi F}$ -contractions in the setting of generalized orthogonal sets by extending some basic notions related to this new direction of research. The proven theorems generalize and improve many known results in the literature. Also, an application to a Volterra-type integral inclusion is provided.