English

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

Functional Analysis 2017-08-15 v1 Operator Algebras

Abstract

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

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Cite

@article{arxiv.1708.03866,
  title  = {A simple proof of the fixed point theorem in $C^*$-algebra valued metric space},
  author = {Harsh Trivedi},
  journal= {arXiv preprint arXiv:1708.03866},
  year   = {2017}
}

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2 pages