Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces


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.


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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


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