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Czechoslovak Mathematical Journal
Volume 49
Issue 4
Article
Merryfield, Kent
;
Stein, James D., Jr.
Common fixed points of two isotone maps on a complete lattice
.
(English).
Czechoslovak Mathematical Journal
,
vol. 49 (1999), issue 4
,
pp. 849-866
MSC:
06B23
,
54H25
|
MR 1746711
|
Zbl 1005.06003
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References:
[1] G. Birkhoff:
Lattice Theory
. American Mathematical Society, Providence R.I., 1967.
MR 0227053
|
Zbl 0153.02501
[2] N. Dunford and J. Schwartz:
Linear Operators, Part I
. Interscience, New York N.Y., 1958.
[3] J. Jachymski:
Equivalent Conditions Involving Common Fixed Points for Maps on the Unit Interval
. Proc. Amer. Math. Soc. 124 (1996), 3229–3233.
DOI 10.1090/S0002-9939-96-03397-7
|
MR 1328352
|
Zbl 0881.54043
[4] A. Tarski:
A Lattice-Theoretical Fixpoint Theorem and Its Applications
. Pacific. J. Math. 5 (1955), 285–309.
DOI 10.2140/pjm.1955.5.285
|
MR 0074376
|
Zbl 0064.26004
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