On the acyclicity of the solution sets of operator equations
Journal Article
·
· Sbornik. Mathematics
- Voronezh State University, Voronezh (Russian Federation)
A parameter-dependent completely continuous map is considered. The acyclicity of the set of fixed points of this map is proved for some fixed value of the parameter under the assumption that for close values of the parameter the map has a unique fixed point. The results obtained are used to prove the acyclicity of the set of fixed points of a 'nonscattering' map, as well as to study the topological structure of the set of fixed points of an abstract Volterra map. Bibliography: 13 titles.
- OSTI ID:
- 21570922
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 10 Vol. 201; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
On the structure of invariant measures for set-valued maps
On the structure of the set of coincidence points
The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex
Journal Article
·
Fri Sep 30 00:00:00 EDT 2011
· Sbornik. Mathematics
·
OSTI ID:21612599
On the structure of the set of coincidence points
Journal Article
·
Tue Mar 31 00:00:00 EDT 2015
· Sbornik. Mathematics
·
OSTI ID:22590458
The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex
Journal Article
·
Sat Oct 31 00:00:00 EDT 2009
· Sbornik. Mathematics
·
OSTI ID:21301489