Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions

H. Buley

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 2, page 213-225
  • ISSN: 0010-2628

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Buley, H.. "Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions." Commentationes Mathematicae Universitatis Carolinae 019.2 (1978): 213-225. <http://eudml.org/doc/16896>.

@article{Buley1978,
author = {Buley, H.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {213-225},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions},
url = {http://eudml.org/doc/16896},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Buley, H.
TI - Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 2
SP - 213
EP - 225
LA - eng
UR - http://eudml.org/doc/16896
ER -

References

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  1. F. E. BROWDER, Nonlinear operators and nonlinear equations of evolution, Proc. Sympos. Pure Math., vol. 18, part 2, Amer. Math. Soc. Providence, R.I., 1976. (1976) Zbl0327.47022MR0405188
  2. R. L. FRUM-KETKOV, Mappings into a Banach space sphere, Dokl. Akad. Nauk SSSR 171 (1967), 1229-1231 - Soviet Math. Dokl. 8 (1967),1004-1006. (1967) Zbl0186.46904MR0220114
  3. M. FURI M. MARTELLI, On the minimal displacement under acyclic-valued maps defined on a class of ANR's, Sonderforschungsbereich 72 an der Univ. Bonn, preprint No. 39 (1974). (1974) 
  4. D. GÖHDE, Zum Prinzip der kontraktiven Abbildungen, Math. Nachr. 30 (1965), 251-258. (1965) MR0190718
  5. M. A. KRASNOSELSKII, On several new fixed point principles, Dokl. Akad. Nauk SSSR 208 (1973), Soviet Math. Dokl. 14 (1973), 259-261. (1973) MR0320838
  6. R. D. NUSSBAUM, Asymptotic fixed point theorems for local condensing maps, Math. Ann. 191 (1971), 181-195. (191) MR0298502
  7. R. D. NUSSBAUM, A geometric approach to the fixed point index, Pacific J. Math. 39 (1971), 751-766. (1971) Zbl0232.47061MR0306985
  8. R. D. NUSSBAUM, Some asymptotic fixed point theorems, Trans. Am. Math. Soc. 171 (1972), 349-374. (1972) Zbl0256.47040MR0310719
  9. R. D. NUSSBAUM, Degree theory for local condensing maps, J. Math. Anal. Appl. 37 (1972), 741-766. (1972) Zbl0232.47062MR0306986
  10. R. D. NUSSBAUM, The fixed point index for local condensing maps, Ann. Mat. Pura Appl. 89 (1971), 217-258. (1971) Zbl0226.47031MR0312341
  11. J. REINERMANN R. SCHÖNEBERG, Some results and problems in the fixed point theory for nonexpansive and pseudocontractive mappings in Hilbert space, Proc. on a seminar "Fixed Point Theory and its Applications", Dalhousie Univ., Halifax, N.S., Canada, June 9 - 12, 1975, Academic Press, New York - San Francisco - London (1976). (1975) MR0451052
  12. C. L. KRAUTHAUSEN G. MÜLLER J. REINERMANN R. SCHÖNEBEBG, New fixed point theorems for compact and nonexpansive mappings and applications to Hammerstein equations, Universität Bonn SFB 72 preprint No. 92 (1976). (1976) 
  13. R. SCHÖNEBERG, Some fixed point theorems for mappings satisfying Frum-Ketkov conditions, Comment. Math. Univ. Carolinae 17 (1976), 399-411. (1976) MR0410488
  14. R. SCHÖNEBERG, Fixpunktsätze für einige Klassen kontraktionsartiger Operatoren in Banachräumen über einen Fixpunktindex, eine Zentrumsmethode und die Fixpunkttheorie nichtexpansiver Abbildungen, Dissertation, RWTH Aachen (1977). (1977) 

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