Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)

Jochen Reinermann; Volker Stallbohm

Commentationes Mathematicae Universitatis Carolinae (1974)

  • Volume: 015, Issue: 4, page 775-779
  • ISSN: 0010-2628

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Reinermann, Jochen, and Stallbohm, Volker. "Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)." Commentationes Mathematicae Universitatis Carolinae 015.4 (1974): 775-779. <http://eudml.org/doc/16663>.

@article{Reinermann1974,
author = {Reinermann, Jochen, Stallbohm, Volker},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {775-779},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)},
url = {http://eudml.org/doc/16663},
volume = {015},
year = {1974},
}

TY - JOUR
AU - Reinermann, Jochen
AU - Stallbohm, Volker
TI - Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1974
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 015
IS - 4
SP - 775
EP - 779
LA - eng
UR - http://eudml.org/doc/16663
ER -

References

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  1. N. A. ASSAD, A fixed point theorem for weakly uniformly strict contractions, Canad. Math. Bull. 16 (1973), 15-18. (1973) Zbl0252.47063MR0322840
  2. R. A. BING, The elusive fixed point property, Amer. Math. Monthly 25 (1969), 119-132. (1969) Zbl0174.25902MR0236908
  3. F. E. BROWDER, Convergence of approximants to fixed points of nonexpansive mappings in Banach spaces, Arch. Rat. Mech. Anal. 25 (1967), 82-90. (1967) MR0206765
  4. M. G. CRANDALL A. PAZY, Semi-groups of nonlinear contractions and dissipative sets, J. Functional Anal. 3 (1969), 1-34. (1969) MR0243383
  5. M. EDELSTEIN, On fixed and periodic points under contractive mappings, J. Lond. Math. Soc. 37 (1962), 74-79. (1962) Zbl0113.16503MR0133102
  6. D. GÖHDE, Zum Prinzip der konktraktiven Abbildung, Math. Nachr. 30 (1965), 251-258. (1965) MR0190718
  7. V. KLEE, Leray-Schauder theory without local convexity, Math. Ann. 141 (1960), 286-296. (1960) Zbl0096.08001MR0131150
  8. W. V. PETRYSHYN P. M. FITZPATRICK, Degrees theory for noncompact multivalued vector fields, Bull. Amer. Math. Soc. 79 (1973), 609-613. (1973) MR0317117
  9. J. REINERMANN, Fixpunktsätze vom Krasnoselski-Typ, Math. Z. 119 (1971), 339-344. (1971) Zbl0204.45802MR0278142
  10. B. N. SADOVSKY, On measure of noncompactness and condensing operators, Probl. Math. Anal. Slož. Sistem. 2 (1968), 89-119 (in Russian). (1968) MR0301582
  11. B. N. SADOVSKY, Ultimately compact and condensing operators, Uspehi Mat. Nauk 27 (1972), 81-146 (in Russian). (1972) MR0428132
  12. J. T. SCHWARTZ, Nonlinear Functional Analysis, Courant Institute, New York (1965). (1965) 
  13. K. SIEKLUCKI, On a class of plane acyclic continua with the fixed point property, Fund. Math. 63 (1968), 257-278. (1968) Zbl0172.24803MR0240794

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