Common Fixed Points of Weakly Commuting Multivalued Mappings on Domain   of Sets Endowed with Directed Graph
  In this paper, the existence of coincidence points and common fixed points for multivalued mappings satisfying certain graphic {\psi}-contraction contractive conditions with set-valued domain endowed with a graph, without appealing to continuity, is established. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature. 
Sergei Silvestrov and Talat Nazir
math.GM