Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi bmetric space

In this paper, we introduce the concept of α-dominated multivalued mappings and establish the existence of common fixed points of such mappings on a closed ball contained in left/right Ksequentially complete dislocated quasi bmetric spaces. These results improve, generalize, extend, unify, and complement various comparable results in the existing literature. Our results not only extend some primary results to left/right Ksequentially dislocated quasi bmetric spaces but also restrict the contractive conditions on a closed ball only. Some examples are presented to support the results proved herein. Finally as an application, we obtain some common fixed point results for singlevalued mappings by an application of the corresponding results for multivalued mappings satisfying the contractive conditions more general than Banach type and Kannan type contractive conditions on closed balls in a left Ksequentially complete dislocated quasi bmetric space endowed with an arbitrary binary relation.