Title of article :
Common Fixed Points of a Pair of Hβ-Hausdorff Multivalued Operators in b-Metric Space and Application to Integral Equations
Author/Authors :
Alrashedi, N.R Prince Sattam bin Abdulaziz University , Alshammari, F.S Prince Sattam bin Abdulaziz University , George, R Prince Sattam bin Abdulaziz University
Abstract :
A common fixed point theorem for a pair of Hβ-Hausdorff
multi-valued operators for β ∈ [0, 1] is proved in a b-metric space. Our
result is a proper extension and new variants of many well known contraction
conditions existing in literature. As an application of our main
result, we have proved an existence result for a common solution of a
pair of nonlinear Volterra type integral equations.
Keywords :
b-metric space , Hβ-Hausdorff b-metric , Hβ- Hausdorff function , common fixed point , Fredholm integral equation
Journal title :
Journal of Mathematical Extension(IJME)
