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The invertibility of operators and contraction mappings

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Abstract

Necessary and sufficient conditions for the invertibility of a (not necessarily linear) operatorN between normed linear spaces are given. It is shown thatN is invertible precisely if a certain operator associated withN is a contraction.

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References

  1. V. Dolezal, Some results on the invertibility of nonlinear operators,Circuits Systems Signal Process. Vol. 17, No. 6, pp. 683–690, 1998.

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  1. Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, 11794-3600, Stony Brook, New York

    Vaclav Dolezal

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  1. Vaclav Dolezal
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Dolezal, V. The invertibility of operators and contraction mappings. Circuits Systems and Signal Process 18, 183–187 (1999). https://doi.org/10.1007/BF01206682

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  • DOI: https://doi.org/10.1007/BF01206682

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