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On approximate iterations and solutions for equations considered in function spaces

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Interval Mathematics (IMath 1975)

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References

  1. Collatz, L., Funktional analysis und Numerische Mathematik. Berlin-Gottingen-Heidelberg: Springer 1964.

    Book  Google Scholar 

  2. Kwapisz, M., On the approximate solutions of an abstract equation. Annales Polonici Mathematici, XIX, 47–60 / 1967 /

    Article  MathSciNet  Google Scholar 

  3. Kwapisz, M., On the convergence of approximate iterations for an abstract equation, Annales Polonici Mathematici, XXII, 73–87 /1969 /.

    Article  MathSciNet  Google Scholar 

  4. Kwapisz, M., Turo, J., On the existence and convergence of successive approximations for some functional equations in a Banach space. Journal of Differential Equations, 16, 298–318 /1974 /.

    Article  MathSciNet  Google Scholar 

  5. Kwapisz, M., Turo, J., Existence, uniqueness and successive approximations for a class of integral-functional equations. Aequationes Mathematicae, to appear.

    Google Scholar 

  6. Kwapisz, M., Turo, J., Some integral-functional equations. Funkcialaj Ekvacioj, to appear.

    Google Scholar 

  7. Ortega, J.M., Rheinboldt, W.C., On a class of approximate iterative processes. Arch. Rat. Mech. Anal., 23, 352–365 / 1967 /.

    Article  MathSciNet  Google Scholar 

  8. Ortega, J.M., Rheinboldt, W.C., Iterative solutions of nonlinear equations in several variables. Academic Press, 1970.

    Google Scholar 

  9. Schröder, J., Das Iterationsverfahren bei allgemeinerem Abstandsbegriff. Math. Zeitschr., 66, 111–116 / 1956 /.

    Article  MathSciNet  Google Scholar 

  10. Walter, W., Über sukzessive Approximation bei Volterra-Integralgleichungen in mehreren Veränderlichen, Ann. Acad. Sci. Fennicae, Ser. A, I, 345, 1–32 /1965 /

    MATH  Google Scholar 

  11. Walter, W., Differential and integral inequalities. Springer 1970.

    Google Scholar 

  12. Ważewski, T., Sur une procédé de prouver la convergence des approximations successive sans utilisation des séries de comparaison. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. et Phys., 8, 47–52 / 1960 /.

    MathSciNet  MATH  Google Scholar 

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Karl Nickel

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© 1975 Springer-Verlag Berlin Heidelberg

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Kwapisz, M. (1975). On approximate iterations and solutions for equations considered in function spaces. In: Nickel, K. (eds) Interval Mathematics. IMath 1975. Lecture Notes in Computer Science, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07170-9_22

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  • DOI: https://doi.org/10.1007/3-540-07170-9_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07170-9

  • Online ISBN: 978-3-540-37504-3

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