Partial Hausdorff metric and Nadlerʼs fixed point theorem on partial metric spaces
By Hassen Aydi, Mujahid Abbas, Calogero Vetro. 2012
233 citations recorded by the source corpus.
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 Nadlerʼs fixed point theorem. Moreover, we give a homotopy result as application of our main result.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/2826654c661dd0b1fbbd11c8fad6773df7e03ce9
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In Geometry and Topology
- Stojan Radenovic
- Hassen Aydi
- Calogero Vetro
- Mujahid Abbas
- Basit Ali
- Zoran Kadelburg
- E. Karapınar
- Nawab Hussain
Citations in the corpus
- A SUZUKI TYPE FIXED POINT THEOREM FOR A GENERALIZED MULTIVALUED MAPPING ON PARTIAL HAUSDORFF METRIC SPACES (2013, background): “6 in [4].”
- ON H+Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces (2019, background): “[5,6], Lim [7], Dozo [8], Mizoguchi and Takahasi [9], etc.”