Title of article :
Caristis fixed point theorem on C ∗ -algebra valued metric spaces
Author/Authors :
Shehwar ، Dur-e - Capital University of Science and Technology , Batul ، Samina - Capital University of Science and Technology , Kamran ، Tayyab - Quaid-i-Azam University , Ghiura ، Adrian - University Politehnica of Bucharest
Abstract :
We present the extension of Caristi s fixed point theorem for mappings defined on C ∗ -algebra valued metric spaces. We prove the existence of fixed point using the concept of minimal element in C ∗ -algebra valued metric space by introducing the notion of partial order on X.
Keywords :
Caristi s theorem , C∗ , algebra , metric space
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
