On behaviour of fixed points of nonexpansive mappings

Helmut Meister

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 2, page 319-331
  • ISSN: 0010-2628

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Meister, Helmut. "Zum Fixpunktverhalten nichtexpansiver Abbildungen." Commentationes Mathematicae Universitatis Carolinae 021.2 (1980): 319-331. <http://eudml.org/doc/17037>.

@article{Meister1980,
author = {Meister, Helmut},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point; nonexpansive map; set-valued map},
language = {ger},
number = {2},
pages = {319-331},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Zum Fixpunktverhalten nichtexpansiver Abbildungen},
url = {http://eudml.org/doc/17037},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Meister, Helmut
TI - Zum Fixpunktverhalten nichtexpansiver Abbildungen
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 2
SP - 319
EP - 331
LA - ger
KW - fixed point; nonexpansive map; set-valued map
UR - http://eudml.org/doc/17037
ER -

References

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  1. N. A. ASSAD W. A. KIRK, Fixed point theorems of contractive type, Pacific Journ. Math. 43 (1972), 553-562. (1972) MR0341459
  2. F. E. BROWDER, Nonexpansive nonlinear Operators in Banach space, Proc. Nat. Acad. Sci. 54 (1965), 1041-1044. (1965) MR0187120
  3. P. M. FITZPATRICK W. V. PETRYSHYN, A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings, Trans. Amer. Math. Soc. 194 (1974), 1-25. (194) MR2478129
  4. D. GÖHDE, Zum Prinzip der kontraktiven Abbildung, Math. Nachr. 30 (1965), 251-258. (1965) MR0190718
  5. D. GÖHDE, Elementare Bemerkungen zu nichtexpansiven Selbstabbildungen nicht konvexer Mengen im Hilbertraum, Math. Nachr. 63 (1974), 331-335. (1974) MR0367739
  6. S. HAHN, Zur Bedeutung des Fixpunktsatzes von Schauder für die Fixpunkttheorie nicht notwendig kompakter Abbildungen;, erscheint in "Beiträge zur Analysis" (bzw. TU Dresden, Informationen 07-11-78). Zbl0561.47043
  7. W. A. KIRK, A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (1965), 1004-1006. (1965) MR0189009
  8. E. LAMI DOZO, Multivalued nonexpansive mappings and Opial's condition, Proc. Amer. Math. Soc. 38 (1973), 286-289. (1973) Zbl0268.47060MR0310718
  9. S. B. NADLER, Jr., Multivalued contraction mappings, Pacific J. Math. 30 (1969), 475-488. (1969) MR0254828
  10. O. RAY, Nonexpansive mappings on unbounded convex domains, Bull. Acad. Polon. 26 (1978), 241-248. (1978) Zbl0373.47034MR0493551
  11. S. REICH, Fixed points in locally convex spaces, Math. Zeitschrift 125 (1972), 17-31. (1972) Zbl0216.17302MR0306989
  12. R. SCHÖNBERG, Fixpunktsätze für einige Klassen kontraktionsartiger Abbildungen in Banachräumen über einen Fixpunktindex, eine Zentrummethode und die Fixpunkttheorie nichtexpansiver Abbildungen, Dissertation, Aachen 1977. (1977) 
  13. D. R. SMART, Fixed point theorems, Cambridge University Press 1974. (1974) Zbl0297.47042MR0467717

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