A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces

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Authors

Abbas, Mujahid
Ali, Basit
Vetro, Calogero

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Elsevier

Abstract

In this paper, we obtain a Suzuki type fixed point theorem for a generalized multivalued mapping on a partial Hausdorff metric space. As a consequence of the presented results, we discuss the existence and uniqueness of the bounded solution of a functional equation arising in dynamic programming.

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Keywords

Common fixed point, Multi-valued mapping, Partial metric space

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Abbas, M, Ali, B & Vetro, C 2013, 'A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces', Topology and its Applications, vol. 160, no. 3, pp. 553-563.