Title of article :
Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces
Author/Authors :
Ali ، Muhammad Usman - National University of Sciences and Technology H-12 , Kamran ، Tayyab - Quaid-i-Azam University , Postolache ، Mihai - University Politehnica of Bucharest
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.
Keywords :
Gauge space , graph , fixed point , nonlinear integral equation
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
