Title of article :
On new common fixed points of multivalued (varUpsilon ,varLambda )-contractions in complete b-metric spaces and related application
Author/Authors :
Ameer, Eskandar Department of Mathematics - Taiz University Taiz, Yemen , Arshad, Muhammad Department of Mathematics - International Islamic University, Islamabad , Pakistan , Hussain, Nawab Department of Mathematics - King Abdulaziz University, Jeddah , Saudi Arabia
Abstract :
The aim of this paper is to introduce the concept of generalized multivalued left( varUpsilon ,varLambda right) -contractions and generalized multivalued left( varUpsilon ,varLambda
ight) -Suzuki contractions and introduce some new common fixed point results for such maps in complete b-metric spaces. Our results are an improvement of the Liu et al. fixed point theorem and several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we also discuss an application to existence of solution for system of functional equations.
Keywords :
Fixed point , b-metric space , Generalized multivalued ( 𝛶 , 𝛬)-contraction , Generalized multivalued ( 𝛶 , 𝛬 )-Suzuki contractio
