Document Zbl 0699.06005

from until

One-Line Search

add line

Document Type:

Journal Articles

Collection Articles

Books

arXiv Preprints

Document Type:

Journal Articles

Collection Articles

Books

arXiv Preprints

Reset all

New Multi-Line Search

Help

Examples

Geometry Search for the term Geometry in any field. Queries are case-independent.

Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.

"Topological group" Phrases (multi-words) should be set in "straight quotation marks".

au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.

Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.

Quasi* map* py: 1989 The resulting documents have publication year 1989.

so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.

"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.

dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.

py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).

la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Fields

any	anywhere
an	internal document identifier
au	author, editor
ai	internal author identifier
ti	title
la	language
so	source
ab	review, abstract
py	publication year
rv	reviewer
cc	MSC code
ut	uncontrolled term
dt	document type (j: journal article; b: book; a: book article)

Operators

a & b	logic and
a \| b	logic or
!ab	logic not
abc*	right wildcard
"ab c"	phrase
(ab c)	parentheses

Antimorphisms of partially ordered sets. (English) Zbl 0699.06005

Arch. Math., Brno 25, No. 3, 127-135 (1989).

Summary: We prove some fixed point theorems for local antimorphisms which need not be either isotone or antitone mappings. We give, in a way, necessary and sufficient conditions for the existence of fixed points on partially ordered sets. We also introduce the concepts: inf, sup-antimorphisms, and, in connection with that, we also have some additional results. With such an extension, a general fixed point theorem is obtained which includes a recent result of the author, and also contains, as special cases, some results of Abian, Shmuely, Kupera, Metcalf and Payne, and some others.

MSC:

06A06	Partial orders, general
05A15	Exact enumeration problems, generating functions

Keywords:

fixed point theorems for local antimorphisms

Cite Review PDF

Full Text: EuDML