KKM mappings in cone b -metric spaces

KKM mappings in cone b -metric spaces

In this paper we establish some topological properties of the cone b -metric spaces and then improve some recent results about KKM mappings in the setting of a cone b -metric space. We also prove some fixed point existence results for multivalued mappings defined on such spaces.

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Veröffentlicht in:Computers & mathematics with applications (1987) 2011-08, Vol.62 (4), p.1677-1684
Hauptverfasser: Hussain, N., Shah, M.H.
Format: Artikel
Sprache:eng
Schlagworte:
Admissible set
Approximate fixed point property
Cone [formula omitted]-metric space
Fixed point
KKM property
Mapping
Mathematical models
Topology
Totally bounded set
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Beschreibung
Zusammenfassung:In this paper we establish some topological properties of the cone b -metric spaces and then improve some recent results about KKM mappings in the setting of a cone b -metric space. We also prove some fixed point existence results for multivalued mappings defined on such spaces.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.06.004