Fixed Points for Multivalued Mappings in b-Metric Spaces

In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gavesufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper isto study the existence of fixed points for multivalued mappings,under an α-ψ-contractive condition of Ćirić ty...

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Bibliographic Details
Published in:Abstract and applied analysis 2015, Vol.2015 (2015), p.1-7
Main Authors: Vetro, Francesca, Vetro, Calogero, Samet, Bessem, Jleli, Mohamed Boussairi
Format: Article
Language:English
Subjects:
Cybernetics
Fixed point theory
Integral equations
Mapping
Mappings (Mathematics)
Mathematical research
Metric spaces
Traveling salesman problem
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Summary:In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gavesufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper isto study the existence of fixed points for multivalued mappings,under an α-ψ-contractive condition of Ćirić type, in the setting of complete b-metric spaces. An application to integral equation is given.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/718074