Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications

Abstract

In this article we obtain a Suzuki-type generalization of a fixed point theorem for generalized multivalued mappings of Ćirić (Matematićki Vesnik, 9(24), 265-272, 1972). The obtained results extend furthermore the recently developed Kikkawa-Suzuki-type contractions. Applications to certain functional equations arising in dynamic programming are also considered. © 2011 Crossed D signorićć and Lazovićć; licensee Springer.