A simple proof of the fixed point theorem in C^*-algebra valued metric space

2017/08/13 by Trivedi, Harsh
#46L05 #47H10 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1708.03866

Abstract

We obtain a fundamental inequality for a contraction with respect to a C^*-algebra valued metric space. As an application of this inequality a simple proof is given for the fixed point theorem in C^*-algebra valued metric space.

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