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

Harsh Trivedi

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arXiv · 1708.03866

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

Harsh Trivedi

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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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Harsh Trivedi. 2017-08-13. A simple proof of the fixed point theorem in $C^*$-algebra valued metric space. https://arxiv.org/abs/1708.03866

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