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Solution by a projection-iterative method of a kind of nonlinear equation in banach spaces

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. Yu. D. Sokolov, The Method of Averaging Functional Correction [in Russian], Izd-vo Naukova Dumka, Kiev (1967).

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  2. A. Yu. Luchka, The Theory and Application of the Method of Averaging Functional Corrections [in Russian], Izd-vo AN UkrSSR, Kiev (1963).

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  3. N. S. Kurpel', “The approximate solution of nonlinear operator equations by the method of Yu. D. Sokolov,” Ukrainsk. Matem. Zh.,15, No. 3 (1963).

  4. N. S. Kurpel', “Error estimates of a projection method and the method of Yu. D. Sokolov for nonlinear equations in coordinate space,” Dokl. Akad. Nauk, URSR, No. 1 (1968).

  5. N. S. Kurpel' and F. M. Migovich, “The approximate solution by a projection method of certain nonlinear operator equations,” Dokl. Akad. Nauk, URSR, No. 9 (1963).

  6. M. Picone, “Sull' equazione nonlineare di sekonda specie di Fredholm,” Math. Zeitschr.,74, No. 2 (1960).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    F. M. Migovich

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  1. F. M. Migovich
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 20, No. 6, pp. 766–779, November–December, 1968.

In conclusion I express thanks to N. S. Kurpel' for valuable advice and constant attention to my work.

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Migovich, F.M. Solution by a projection-iterative method of a kind of nonlinear equation in banach spaces. Ukr Math J 20, 673–682 (1968). https://doi.org/10.1007/BF01085236

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  • DOI: https://doi.org/10.1007/BF01085236

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