Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 5

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: periodic point

Sortuj według:

Ogranicz wyniki do:

On linear chaos in function spaces

Jimenez John M., Markin Marat V.

Demonstratio Mathematica

2022

Vol. 55, nr 1

119--135

We show that, in Lp(0,∞) ( 1≤p<∞ ), bounded weighted translations as well as their unbounded counterparts are chaotic linear operators. We also extend the unbounded case to C0[0,∞) and describe the spectra of the weighted translations provided the underlying spaces are complex.

A note on ω-limit set of a tree map

Sun T, Xi H, Peng X.

Fasciculi Mathematici

2011

Nr 46

141--145

Let T be a tree and f : T →T be continuous. Denote by P(f) and ω(x, f) the set of periodic points of f and w-limit set of x under f respectively. Write ᴧ(f) = UxϵTω(x,f). In this paper, we show that if ...[wzór], then ω(x, f) is an infinite minimal set.

On the converse of caristi's fixed point theorem

Głąb S.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

Vol. 52, nr 4

411-416

Let X be a nonempty set of cardinality at most 2^[aleph]0 and T be a selfmap of X. Our main theorem says that if each periodic point of T is a fixed point under T, and T has a fixed point, then there exist a metric d on X and a lower semicontinuous map [phi] : X --> R+ such that d(x,Tx] is less than or equal phi[x] - phi(Tx) for all x belongs to X, and (X, d) is separable. Assuming CH (the Continuum Hypothesis), we deduce that (X,d) is compact.

General solutions of two functional inequalities and converses to contraction theorems

Jachymski J.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 2

147-156

We give necessary and sufficient conditions for the existence of some general solutions of the following two functional inequalities with an unknown real function phi: phi(Fx) is less than or equal to eta(phi(x)) and gamma(phi(Fx)) is less than or equal to phi(x). As an application we establish reciprocals to fixed point theorems of Matkowski and Wong. This extends an earlier result of Bessaga on a converse to the Banach contraction principle.

On common fixed points of commuting triangular maps

Grinc M.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 1

61-67

We give some conditions under which commuting triangular maps have a common fixed point. Some of them provide analogons of known results for maps of a real interval.