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

Calogero Vetro, Hassen Aydi, Mujahid Abbas

Risultato della ricerca: Articlepeer review

142 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)3234-3242
Numero di pagine9
RivistaTopology and its Applications
Volume159
Stato di pubblicazionePublished - 2012

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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