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Uniqueness, continuity and the existence of implicit functions in constructive analysis

  • H. Diener (a1) and P. Schuster (a2)

Abstract

We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit function theorem. Not only does this lead to an a priori proof of continuity, but also to an alternative, full proof of the implicit function theorem. Additionally, we investigate implicit functions as a case of the unique existence paradigm with parameters.

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References

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LMS Journal of Computation and Mathematics
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  • EISSN: 1461-1570
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