In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed point theory for multi-valued mappings on partial metric space using the partial Hausdorff metric and prove an analogous to the well-known Nadler’s fixed point theorem. Moreover, we give a homotopy result as application of our main result.

Aydi, H., Abbas, M., & Vetro, C. (2012). Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces. TOPOLOGY AND ITS APPLICATIONS, 159(14), 3234-3242 [10.1016/j.topol.2012.06.012].

Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces

VETRO, Calogero
2012

Abstract

In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed point theory for multi-valued mappings on partial metric space using the partial Hausdorff metric and prove an analogous to the well-known Nadler’s fixed point theorem. Moreover, we give a homotopy result as application of our main result.
Settore MAT/05 - Analisi Matematica
http://www.sciencedirect.com/science/article/pii/S0166864112002787
Aydi, H., Abbas, M., & Vetro, C. (2012). Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces. TOPOLOGY AND ITS APPLICATIONS, 159(14), 3234-3242 [10.1016/j.topol.2012.06.012].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/64100
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