Caristis fixed point theorem on \(C^*\)-algebra valued metric spaces


Authors

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.


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.


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