Pseudo-contractive mappings and the Leray-Schauder boundary condition

Claudio H. Morales

Commentationes Mathematicae Universitatis Carolinae (1979)

  • Volume: 020, Issue: 4, page 745-756
  • ISSN: 0010-2628

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Morales, Claudio H.. "Pseudo-contractive mappings and the Leray-Schauder boundary condition." Commentationes Mathematicae Universitatis Carolinae 020.4 (1979): 745-756. <http://eudml.org/doc/17006>.

@article{Morales1979,
author = {Morales, Claudio H.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pseudo-contractive mappings; Leray-Schauder condition},
language = {eng},
number = {4},
pages = {745-756},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Pseudo-contractive mappings and the Leray-Schauder boundary condition},
url = {http://eudml.org/doc/17006},
volume = {020},
year = {1979},
}

TY - JOUR
AU - Morales, Claudio H.
TI - Pseudo-contractive mappings and the Leray-Schauder boundary condition
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 4
SP - 745
EP - 756
LA - eng
KW - pseudo-contractive mappings; Leray-Schauder condition
UR - http://eudml.org/doc/17006
ER -

References

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  2. F. E. BROWDER, Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 660-665. (1968) Zbl0164.44801MR0230179
  3. K. DEIMLING, Zeros of accretive operators, Manuscripta Math. 13 (1974), 365-374. (1974) Zbl0288.47047MR0350538
  4. J. A. GATICA W. A. KIRK, Fixed point theorems for contraction mappings with nonexpansive and pseudocontractive mappings, Rocky Mountain J. Math. 4 (1974), 69-79. (1974) MR0331136
  5. T. KATO, Nonlinear semigroup and evolution equations, J. Math. Soc. Japan 19 (1967), 508-520. (1967) MR0226230
  6. W. A. KIRK, Remarks on pseudo-contractive mappings, Proc. Amer. Math. Soc. 25 (1970), 820-823. (1970) Zbl0203.14603MR0264481
  7. W. A. KIRK C. MORALES, Condensing mappings and the Leray-Schauder boundary condition, J. Nonlinear Analysis (to appear). MR0537339
  8. W. A. KIRK R. SCHÖNEBERG, Some results on pseudo-contractive mappings, Pacific J. Math. 71 (1977), 98-100. (1977) MR0487615
  9. R. H. MARTIN, Differential equations on closed subset of a Banach space, Trans. Amer. Math. Soc. 179 (1973), 399-414. (1973) MR0318991
  10. G. MÜLLER J. REINERMANN, Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps, Comment. Math. Univ. Carolinae 18 (1977), 281-298. (1977) MR0448173
  11. R. D. NUSSBAUM, The fixed point index and fixed point theorems for k-set-contractions, Ph.D. Thesis, University of Chicago, Chicago, III., 1969. (1969) 
  12. W. V. PETRYSHYN, Structure of the fixed point sets of k -set-contractions, Arch. Rat. Mech. Anal. 40 (1971), 312-328. (1971) MR0273480
  13. W. V. PETRYSHYN, Fixed point theorems for various classes of 1 -set-contractive and 1 -ball-contractive mappings in Banach spaces, Trans. Amer. Math. Soc. 182 (1973), 323-352. (1973) Zbl0277.47033MR0328688
  14. R. SCHÖNEBERG, Fixpunktsätze für einige Klassen kontraktionsartiger Operatoren in Banachräumen über einen Fixpunktindex, eine Zentrumsmethode und Fixpunkttheorie nichtexpansiver Abbildungen, Ph.D. Thesis, RWTH Aachen, 1977. (1977) 

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