Results 271 to 280 of about 2,048,777 (316)
Some of the next articles are maybe not open access.
The Existence of Periodic Points
The Annals of Mathematics, 1953A periodic point of a transformation of a set into itself is a point which is carried back to its original position by some iterate of the transformation. The purpose of this paper is to demonstrate topological conditions which ensure the existence of periodic points. THEOREM 1.
openaire +1 more source
Periodic Points and Contractive Mappings
Canadian Mathematical Bulletin, 1974Let X be a non-empty set and f:X→X. A point x ∈ X is (i) a fixed point off f(x)=x, and (ii) a periodic point of f iff there is a positive integer N such that fN(x)=x. Also a periodic orbit of f is the (finite) set {x, f(x), f2(x),…} where x is a periodic point of f.
Hsieh, Tsu-Teh, Tan, Kok-Keong
openaire +1 more source
1980
Now that the notions of ‘point structure’ and ‘period structure’ have been developed to some extent, it becomes of interest to relate the two in a systematic fashion. For this purpose, once more, here are the relevant notions as they evolved in the previous discussions.
openaire +1 more source
Now that the notions of ‘point structure’ and ‘period structure’ have been developed to some extent, it becomes of interest to relate the two in a systematic fashion. For this purpose, once more, here are the relevant notions as they evolved in the previous discussions.
openaire +1 more source
Correction to: Fixed point and periodic point theorems
Acta Scientiarum MathematicarumzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pant, R. P., Rakočević, Vladimir
openaire +1 more source
Communications in Contemporary Mathematics, 2021
We introduce the notion of exotic periodic points of a meromorphic self-map. We then establish the expected asymptotic for the number of isolated or exotic periodic points for holomorphic self-maps with a simple action on the cohomology groups on a compact Kähler manifold.
openaire +1 more source
We introduce the notion of exotic periodic points of a meromorphic self-map. We then establish the expected asymptotic for the number of isolated or exotic periodic points for holomorphic self-maps with a simple action on the cohomology groups on a compact Kähler manifold.
openaire +1 more source
Periodic points of polynomials
Ukrainian Mathematical Journal, 1989See the review in Zbl 0686.30019.
Eremenko, A. Eh., Levin, G. M.
openaire +2 more sources
Fixed point and periodic point theorems
Acta Scientiarum Mathematicarum\textit{R. P. Pant} [Bull. Calcutta Math. Soc. 90, No. 4, 281--286 (1998; Zbl 0936.54043)] began research on the properties of mappings weaker than continuity which can ensure the existence of a fixed point. The present paper develops this topic. Unfortunately, the paper contains many editorial imperfections.
Pant, R. P., Rakočević, Vladimir
openaire +1 more source
Mathematische Annalen, 2001
Let \(M\) be a complete PL manifold and \(f: M\to M\) a map. The Nielsen number \(N(f)\) is a lower bound for the number of fixed points of every map homotopic to \(f\). If the dimension of \(M\) is at least three, then there is a map \(g\) homotopic to \(f\) such that \(g\) has exactly \(N(f)\) fixed points.
openaire +1 more source
Let \(M\) be a complete PL manifold and \(f: M\to M\) a map. The Nielsen number \(N(f)\) is a lower bound for the number of fixed points of every map homotopic to \(f\). If the dimension of \(M\) is at least three, then there is a map \(g\) homotopic to \(f\) such that \(g\) has exactly \(N(f)\) fixed points.
openaire +1 more source