Back to Search
Start Over
INVARIANT MEANS AND ACTIONS OF SEMITOPOLOGICAL SEMIGROUPS ON COMPLETELY REGULAR SPACES AND APPLICATIONS
- Source :
- Bulletin of the Australian Mathematical Society. 103:162-173
- Publication Year :
- 2020
- Publisher :
- Cambridge University Press (CUP), 2020.
-
Abstract
- In this paper, we extend the study of fixed point properties of semitopological semigroups of continuous mappings in locally convex spaces to the setting of completely regular topological spaces. As applications, we establish a general fixed point theorem, a convergence theorem and an application to amenable locally compact groups.
- Subjects :
- Pure mathematics
General Mathematics
Tychonoff space
010102 general mathematics
Fixed-point theorem
010103 numerical & computational mathematics
Fixed point
Topological space
01 natural sciences
Locally convex topological vector space
Locally compact space
0101 mathematics
Invariant (mathematics)
Mathematics
Haar measure
Subjects
Details
- ISSN :
- 17551633 and 00049727
- Volume :
- 103
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Australian Mathematical Society
- Accession number :
- edsair.doi...........08e33135cc911dc4e54961f3f4750284