ON A BROAD CATEGORY OF MULTIVALUED WEAKLY PICARD OPERATORS

In the present paper, considering a recent technique which is used by Jleli and Samet [10] for fixed points of single-valued maps, we introduce a new concept of multivalued theta-contractions on metric spaces and prove that some of such mappings are multivalued weakly Picard operators on complete metric space. Finally, we give a nontrivial example to show that the class of multivalued theta-contractions is more general than multivalued contractions in the sense of Nadler [14] on complete metric spaces.