(University of Management and Technology, 2012) M Abbas; Basit Ali; A Amini-Harandi
In this paper, we prove a coupled fixed point theorem for a multivalued fuzzy
contraction mapping in complete Hausdorff fuzzy metric spaces. As an application of
the first theorem, a coupled coincidence and coupled common fixed point theorem
has been proved for a hybrid pair of multivalued and single-valued mappings. It is
worth mentioning that to find coupled coincidence points, we do not employ the
condition of continuity of any mapping involved therein. Also, coupled coincidence
points are obtained without exploiting any type of commutativity condition. Our
results extend, improve, and unify some well-known results in the literature.