On interpolative Hardy-Rogers type multivalued contractions via a simulation function

Abstract

In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions via simulation function $\mathcal{Z}_{\mathcal{G}}$ mappings using generalized simulation functions  is introduced. We establish some related fixed point results  and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.