# Fixed point characterization of completeness on lattices for relatively isotone mappings

Archivum Mathematicum (1984)

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

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topKlimeš, 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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- Crawley P., Dilworth R. P., Algebraic Theory of Lattices, Prentice - Hall, NJ, 1973. (1973) Zbl0494.06001
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- Kolibiar M., Über Fixpunktsätze in geordneten Mengen, Spisy Přírod. Fak. Univ. Brno 457 (1964), 469-472. (1964)
- Markowski G., Chain complete posets and directed sets with applications, Algebra Universalis 6 (1976), 53-68. (1976) MR0398913
- Tarski A., A lattice theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285-309. (1955) Zbl0064.26004MR0074376
- Wong J. S., Common fixed points of commuting monotone mappings, Canad. J. Math. 19 (1967), 617-620. (1967) Zbl0153.02702MR0210627

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