Caractérisations de la convergence locale de la méthode des approximations successives

Michel Cosnard

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1977)

  • Volume: 11, Issue: 3, page 225-240
  • ISSN: 0764-583X

How to cite

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Cosnard, Michel. "Caractérisations de la convergence locale de la méthode des approximations successives." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 11.3 (1977): 225-240. <http://eudml.org/doc/193298>.

@article{Cosnard1977,
author = {Cosnard, Michel},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {fre},
number = {3},
pages = {225-240},
publisher = {Dunod},
title = {Caractérisations de la convergence locale de la méthode des approximations successives},
url = {http://eudml.org/doc/193298},
volume = {11},
year = {1977},
}

TY - JOUR
AU - Cosnard, Michel
TI - Caractérisations de la convergence locale de la méthode des approximations successives
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1977
PB - Dunod
VL - 11
IS - 3
SP - 225
EP - 240
LA - fre
UR - http://eudml.org/doc/193298
ER -

References

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  1. 1. S. BANACH, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales (Thèse, Université de Luow, 1920), Fund, Math. 3, 1922, p. 133-181. Zbl48.0201.01JFM48.0201.01
  2. 2. V. V. BASHUROV and V. N. OGIBIN, Conditions for the convergence of iterative processes on the real axis, USSR Comp. Math. and Math. Phys. 6, 5, 1966, p. 178-184. Zbl0171.35501
  3. 3. G. CHOQUET, Cours d'Analyse, Tome II, Topologie, Masson et Cie. Zbl0169.53801
  4. 4. M. Y. COSNARD, Une condition nécessaire et suffisante de convergence locale de la méthode des approximations successives dans R, Colloque d'Analyse Numérique, Port Bail, 1976. 
  5. 5. M. Y. COSNARD, Sur les traces du théorème de Banach : un tour d'horizon des résultats de base sur les problèmes de points fixes, R. R. n° 44, Mathématiques Appliquées, Grenoble, 1976. 
  6. 6. J. B. DIAZ and F. T. METCALF, On the set of subsequential limit points of successive approximation. Trans. A.M.S. 135, 1969, p. 459-485. Zbl0174.25904MR234327
  7. 7. M. EDELSTEIN, On non expansive mappings. Proc. A.M.S. 15, 1964, p. 689-695. Zbl0124.16004
  8. 8. F. T. METCALF and T. D. ROGERS, The cluster set of sequences of successive approximations, J. Math. Anal. and Applic. 31, 1970, p. 206-212. Zbl0203.14703MR264147
  9. 9. A. OSTROWSKI, Solutions of equations and systems of equations, 2nd Ed., Academic Press, New York, 1966. Zbl0222.65070MR216746
  10. 10. A. N. SARKOVSKI, A classification of fixed points, Am. Math. Soc. Trans. (2), 97, 1970. Zbl0217.48403
  11. 11. R. S. STEPLEMAN, A characterization of local convergence for fixed point iterations in R, Siam, J. Numer. Anal., 12.6, 1975, p. 887-894. Zbl0319.65037MR421071

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