Fixed Points for Multivalued Mappings in b -Metric Spaces

Mohamed Jleli; Bessem Samet; Calogero Vetro; Francesca Vetro

doi:10.1155/2015/718074

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Home > Journals > Abstr. Appl. Anal. > Volume 2015 > Issue SI05 > Article

2015 Fixed Points for Multivalued Mappings in

b

-Metric Spaces

Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

Abstr. Appl. Anal. 2015(SI05): 1-7 (2015). DOI: 10.1155/2015/718074

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Abstract

In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is to 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.

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Mohamed Jleli. Bessem Samet. Calogero Vetro. Francesca Vetro. "Fixed Points for Multivalued Mappings in $b$ -Metric Spaces." Abstr. Appl. Anal. 2015 (SI05) 1 - 7, 2015. https://doi.org/10.1155/2015/718074