Fixed point results for multivalued mappings in \({\mathbf G}_{b}\)-cone metric spaces

Volume 10, Issue 9, pp 4866--4875 http://dx.doi.org/10.22436/jnsa.010.09.27

Publication Date: September 22, 2017 Submission Date: October 21, 2016

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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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Keywords

• Non normal cone
• fixed points
• \(G_{b}\)-cone metric space

MSC

•  47H10
•  54H25

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