Abstract
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.
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Kaliaj, S.B. A Kannan-type fixed point theorem for multivalued mappings with application. J Anal 27, 837–849 (2019). https://doi.org/10.1007/s41478-018-0135-0
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DOI: https://doi.org/10.1007/s41478-018-0135-0
Keywords
- Complete metric space
- Multivalued mappings
- Kannan-type fixed point theorem
- Functional equation
- Dynamic programming