Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps

Günter Müller; Jochen Reinermann

Commentationes Mathematicae Universitatis Carolinae (1977)

  • Volume: 018, Issue: 2, page 281-298
  • ISSN: 0010-2628

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Müller, Günter, and Reinermann, Jochen. "Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps." Commentationes Mathematicae Universitatis Carolinae 018.2 (1977): 281-298. <http://eudml.org/doc/16826>.

@article{Müller1977,
author = {Müller, Günter, Reinermann, Jochen},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {281-298},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps},
url = {http://eudml.org/doc/16826},
volume = {018},
year = {1977},
}

TY - JOUR
AU - Müller, Günter
AU - Reinermann, Jochen
TI - Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1977
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 018
IS - 2
SP - 281
EP - 298
LA - eng
UR - http://eudml.org/doc/16826
ER -

References

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  1. N. A. ASSAD, A fixed point theorem ŕor weakly uniformly strict contгactions, Canad. Math. Bull. 16 (1973), 15-18. (1973) MR0322840
  2. F. E. BROWDER, Fixed point theorems for nonlinear semicontractive mappings in Banach spaces, Arch. Rat. Mech. Anal. 21 (1966), 259-269. (1966) Zbl0144.39101MR0200753
  3. M. G. CRANDALL A. PAZY, Semi-groups of nonlinear contractions and dissipative sets, Journ. Funct. Anal. 3 (1969), 376-418. (1969) MR0243383
  4. K. DEIMLING, Zeros of accretive operators, Manuscripta Math. 13 (1974), 365-374. (1974) Zbl0288.47047MR0350538
  5. D. GÖHDE, Nichtexpansive und pseudokontraktive Abbildungen sternförmiger Mengen im Hilbertraum, Beiträge zur Analysis 9 (1976), 23-25. (1976) MR0636940
  6. J. P. GOSSEZ, A note on multivalued monotone operators, Mich. J. Math. 17 (1970), 347-350. (1970) Zbl0204.45801MR0282266
  7. T. KATO, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508-520. (1967) Zbl0163.38303MR0226230
  8. S. KINOSHITA, On some contгactible continua without fixed point pгoperty, Bull. Pol. Acad. Sci. 40 (1953), 96-98. (1953) MR0060225
  9. W. A. KIRK R. SCHÖNEBERG, Some results on pseudo-contгactive mappings, Pacific J. Math. (to appeaг). 
  10. J. M. LYSKO, An example for a contractible continuum witnout fixed point property for homeomorphisms, Bull. Acad. Pol. Sci. 20 (1972), 663-666. (1972) MR0319174
  11. R. H. MARTIN, Differential equations on closed subsets of a Banach space, Trans. Amer. Math. Soc. 179 (1973), 399-414. (1973) Zbl0293.34092MR0318991
  12. G. MÜLLER, Topologisch-geometrische Eigenschaften und Fixpunkteigenschaften von sternförmigen Mengen in topologischen Vektorräumen, Diplomarbeit an der Technischen Hochschule Aachen (1976) (unpublished). (1976) 
  13. J. REINERMANN, Fixed point theorems foг nonexpansive mappings on starshaped domains, Berichte der Gesellschaft für Math. und Datenveгarbeitung, Bonn, Nr. 103 (1975), 23-28. (1975) MR0436104
  14. J. REINERMANN V. STALLBOHM, Fixed point theorems for compact and nonexpansive mappings on starshaped domains, Comment. Mәth. Univ. Carolinae 15 (1974), 775-779. (1974) MR0370284
  15. J. REINERMANN V. STALLBOHM, Fixed point theorems for compact and nonexpansive mappings on starshaped domains, Math. Balkanica 4 (1974), 511-516. (1974) MR0375014
  16. J. REINERMANN R. SCHÖNEBERG, Some results and problems in the fixed point theoгy for nonexpansive and pseudocontraetive mappings in Hilbeгt space, Pгoc. on a seminar "Fixed point theoгy and its applications", Dalhousie Univ. Halifax N.S., Canada, June 9-12 (1975), Academic Press (to appear). (1975) 
  17. E. H. ROTHE, Some гemarks on vector fields in Hilbert space, Proc. Symp. Puгe Math. 18 (1), Nonlinear Funct. Anal., 1970. (1970) MR0380875
  18. R. SCHÖNEBERG, On the solvability of equations involving accretive and compact mappings, (to appear). 

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