Fixed point characterization of completeness on lattices for relatively isotone mappings

Jiří Klimeš

Archivum Mathematicum (1984)

  • Volume: 020, Issue: 3, page 125-132
  • ISSN: 0044-8753

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Klimeš, Jiří. "Fixed point characterization of completeness on lattices for relatively isotone mappings." Archivum Mathematicum 020.3 (1984): 125-132. <http://eudml.org/doc/18137>.

@article{Klimeš1984,
author = {Klimeš, Jiří},
journal = {Archivum Mathematicum},
keywords = {partially ordered set; fixed point theorems; relatively isotone mappings; completeness},
language = {eng},
number = {3},
pages = {125-132},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Fixed point characterization of completeness on lattices for relatively isotone mappings},
url = {http://eudml.org/doc/18137},
volume = {020},
year = {1984},
}

TY - JOUR
AU - Klimeš, Jiří
TI - Fixed point characterization of completeness on lattices for relatively isotone mappings
JO - Archivum Mathematicum
PY - 1984
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 020
IS - 3
SP - 125
EP - 132
LA - eng
KW - partially ordered set; fixed point theorems; relatively isotone mappings; completeness
UR - http://eudml.org/doc/18137
ER -

References

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  1. Abian S., Brown A. B., A theorem on partially ordered sets, with applications to fixed point theorems, Canad. J. Math. 13 (1961), 78-82. (1961) Zbl0098.25502MR0123492
  2. Birkhoff G., Lattice theory, AMS Coll. Publ. 1967. (1967) Zbl0153.02501MR0227053
  3. Crawley P., Dilworth R. P., Algebraic Theory of Lattices, Prentice - Hall, NJ, 1973. (1973) Zbl0494.06001
  4. Davis A. C., A characterization of complete lattices, Pacific J. Math. 5 (1955), 311-319. (1955) Zbl0064.26101MR0074377
  5. Kolibiar M., Über Fixpunktsätze in geordneten Mengen, Spisy Přírod. Fak. Univ. Brno 457 (1964), 469-472. (1964) 
  6. Markowski G., Chain complete posets and directed sets with applications, Algebra Universalis 6 (1976), 53-68. (1976) MR0398913
  7. Tarski A., A lattice theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285-309. (1955) Zbl0064.26004MR0074376
  8. Wong J. S., Common fixed points of commuting monotone mappings, Canad. J. Math. 19 (1967), 617-620. (1967) Zbl0153.02702MR0210627

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