Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces
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Authors
Muhammad Usman Ali
- Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology H-12, Islamabad, Pakistan.
Tayyab Kamran
- Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
- Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology H-12, Islamabad, Pakistan.
Mihai Postolache
- Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042, Romania.
Abstract
In this paper, we extend gauge spaces in the setting of b metric spaces and prove fixed point theorems for
multivalued mappings in this new setting endowed with a graph. An example is constructed to substantiate
our result. We also discuss possible application of our result for solving integral equations.
Share and Cite
ISRP Style
Muhammad Usman Ali, Tayyab Kamran, Mihai Postolache, Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 847--855
AMA Style
Ali Muhammad Usman, Kamran Tayyab, Postolache Mihai, Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces. J. Nonlinear Sci. Appl. (2015); 8(5):847--855
Chicago/Turabian Style
Ali, Muhammad Usman, Kamran, Tayyab, Postolache, Mihai. "Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 847--855
Keywords
- Gauge space
- graph
- fixed point
- nonlinear integral equation.
MSC
References
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