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Coordinated approximation method for nonlinear ill-posed problems

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Ukrainian Mathematical Journal Aims and scope

Abstract

The method of coordinated approximation suggested by Yu. Gaponenko [1] for the spaceL 2 (0, 1) is generalized to the case of abstract Hilbert spaces. In particular, we show that, forL 2 (0, 1), some assumptions imposed on exact solutions can be weakened.

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References

  1. Yu. L. Gaponenko,Ill-Posed Problems in Weakly Compact Sets [in Russian], Moscow University, Moscow (1989).

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  2. A. N. Kolmogorov and S. V. Fomin,Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka, Moscow (1972).

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  3. A. N. Tikhonov and V. Y. Arsenin,Solutions of Ill-Posed Problems, Winston-Wiley, Washington (1977).

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Authors and Affiliations

  1. University of Hanoi, Vietnam

    Pham Ky Anh

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  1. Pham Ky Anh
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 956–961, July, 1994.

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Anh, P.K. Coordinated approximation method for nonlinear ill-posed problems. Ukr Math J 46, 1049–1055 (1994). https://doi.org/10.1007/BF01056684

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  • DOI: https://doi.org/10.1007/BF01056684

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