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

Abstract

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.

Keywords

• Complete metric space
• fixed point
• multivalued mapping
• functional equation