Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces
- Authors: Aydi, H; Abbas, M; Vetro, C
- Publication year: 2012
- Type: Articolo in rivista (Articolo in rivista)
- Key words: Partial Hausdorff metric; Multi-valued mappings; Nadler’s fixed point theorem
- OA Link: http://hdl.handle.net/10447/64100
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.