Fixed point results for multivalued mappings in \({\mathbf G}_{b}\)-cone metric spaces
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Authors
Abdullah Eqal Al-Mazrooei
- Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.
Jamshaid Ahmad
- Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.
Abstract
The aim of this paper is to introduce the
notion of generalized Hausdorff distance function on \(G_{b}\)-cone metric
spaces and exploit it to study some fixed point results in the setting of \(G_{b}\)-cone metric spaces without the assumption of normality. These results
improve and generalize some important known results. Some illustrative
examples are also furnished to highlight the realized improvements.
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ISRP Style
Abdullah Eqal Al-Mazrooei, Jamshaid Ahmad, Fixed point results for multivalued mappings in \({\mathbf G}_{b}\)-cone metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4866--4875
AMA Style
Al-Mazrooei Abdullah Eqal, Ahmad Jamshaid, Fixed point results for multivalued mappings in \({\mathbf G}_{b}\)-cone metric spaces. J. Nonlinear Sci. Appl. (2017); 10(9):4866--4875
Chicago/Turabian Style
Al-Mazrooei, Abdullah Eqal, Ahmad, Jamshaid. "Fixed point results for multivalued mappings in \({\mathbf G}_{b}\)-cone metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4866--4875
Keywords
- Non normal cone
- fixed points
- \(G_{b}\)-cone metric space
MSC
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