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

Volume 10, Issue 9, pp 4866--4875
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.

### Share and Cite

##### 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

•  47H10
•  54H25

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