Small functions and iterative methods

Michal Fečkan

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 4, page 589-595
  • ISSN: 0010-2628

Abstract

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Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces.

How to cite

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Fečkan, Michal. "Small functions and iterative methods." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 589-595. <http://eudml.org/doc/247424>.

@article{Fečkan1992,
abstract = {Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces.},
author = {Fečkan, Michal},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {small functions; iterative methods; iterative methods based on small functions; local surjectivity; fixed point property of mappings on scales of complete metric spaces},
language = {eng},
number = {4},
pages = {589-595},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Small functions and iterative methods},
url = {http://eudml.org/doc/247424},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Fečkan, Michal
TI - Small functions and iterative methods
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 589
EP - 595
AB - Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces.
LA - eng
KW - small functions; iterative methods; iterative methods based on small functions; local surjectivity; fixed point property of mappings on scales of complete metric spaces
UR - http://eudml.org/doc/247424
ER -

References

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  1. Pták V., Nondiscrete mathematical induction and iterative existence proofs, Linear Algebra & Appl. 13 223-238 (1976). (1976) MR0394119
  2. Zehnder E., An implicit function theorem for small divisor problems, Bull. Amer. Math. Soc. 80 174-179 (1974). (1974) Zbl0281.35002MR0339259
  3. Petzeltová H., Vrbová P., A remark on small divisors problems, Czech. Math. J. 28 (103) 1-12 (1978). (1978) MR0482803
  4. Korec I., On a problem of V. Pták, Časopis pro pěstování matematiky 103 365-379 (1978). (1978) Zbl0429.26001MR0512233

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