Dur-e Shehwar - Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan. Samina Batul - Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan. Tayyab Kamran - Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan. Adrian Ghiura - Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042, Romania.
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.
Dur-e Shehwar, Samina Batul, Tayyab Kamran, Adrian Ghiura, Caristis fixed point theorem on \(C^*\)-algebra valued metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 2, 584--588
Shehwar Dur-e, Batul Samina, Kamran Tayyab, Ghiura Adrian, Caristis fixed point theorem on \(C^*\)-algebra valued metric spaces. J. Nonlinear Sci. Appl. (2016); 9(2):584--588
Shehwar, Dur-e, Batul, Samina, Kamran, Tayyab, Ghiura, Adrian. "Caristis fixed point theorem on \(C^*\)-algebra valued metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 2 (2016): 584--588
