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.
Data di pubblicazione: | 2012 |
Titolo: | Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces |
Autori: | |
Citazione: | 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. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.topol.2012.06.012 |
URL: | http://www.sciencedirect.com/science/article/pii/S0166864112002787 |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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