A Kannan-type fixed point theorem for multivalued mappings with application. (English) Zbl 07111756
Summary: In this paper, we present a Kannan-type fixed point theorem for multivalued mappings defined on a complete metric space in terms of a Suzuki-type contraction. As an application, we prove an existence and uniqueness theorem for a functional equation arising in dynamic programming of continuous multistage decision processes.
MSC:
| 47H10 | Fixed-point theorems |
| 54E50 | Complete metric spaces |
| 28A10 | Real- or complex-valued set functions |
Keywords:
complete metric space; multivalued mappings; Kannan-type fixed point theorem; functional equation; dynamic programmingReferences:
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