Fixed point theorems for generalized contractions

Jochen Reinermann

Commentationes Mathematicae Universitatis Carolinae (1972)

  • Volume: 013, Issue: 4, page 617-627
  • ISSN: 0010-2628

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Reinermann, Jochen. "Fixed point theorems for generalized contractions." Commentationes Mathematicae Universitatis Carolinae 013.4 (1972): 617-627. <http://eudml.org/doc/16522>.

@article{Reinermann1972,
author = {Reinermann, Jochen},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {617-627},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed point theorems for generalized contractions},
url = {http://eudml.org/doc/16522},
volume = {013},
year = {1972},
}

TY - JOUR
AU - Reinermann, Jochen
TI - Fixed point theorems for generalized contractions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1972
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 013
IS - 4
SP - 617
EP - 627
LA - eng
UR - http://eudml.org/doc/16522
ER -

References

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  1. S. FUČÍK, Fixed point theorems for sum of nonlinear mappings, Comment. Math. Univ. Carolinae 9 (1968), 133-143. (1968) MR0233245
  2. F. E. BROWDER, Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 660-665. (1968) Zbl0164.44801MR0230179
  3. W. A. KIRK, On nonlinear mappings of strongly semicontractive type, J. Math. Anal. Appl. 27 (1969), 409-412. (1969) Zbl0183.15103MR0244814
  4. W. A. KIRK, Mappings of generalized type, J. Math. Anal. Appl. 32 (1970), 567-572. (1970) MR0271794
  5. M. A. KRASNOSELSKI, Two remarks on the method of successive approximations, Uspehi Mat. Nauk 10, No 1 (63) (1955), 123-127. (1955) MR0068119
  6. W. V. PETRYSHYN, Structure of the fixed point sets of k-set-contractions, Arch. Rat. Mech. Anal. 40 (1971), 312-328. (1971) MR0273480
  7. W. V. PETRYSHYN, A new fixed point theorem and its application, Bull. Amer. Math. Soc. 78 (1972), 225-229. (1972) Zbl0231.47030MR0291920
  8. J. REINERMANN, Fixpunktsätze vom Krasnoselski-Typ, Math. Z. 119 (1971), 339-344. (1971) Zbl0204.45802MR0278142
  9. J. REINERMANN, Über Fixpunkte kontrahierender Abbildungen in uniformen Räumen und deren Darstellung durch konvergente Iterationsverfahren, Ber. d. Ges. f. Math. u. Datenverarb. Bonn, Nr 4, 1968. (1968) Zbl0183.15101MR0247543
  10. A. E. TAYLOR, Introduction to Functional Analysis, John Wiley & Sons, Inc., London - Sydney, sixth printing 1967. (1967) MR0098966

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