Results 1 to 10 of about 530 (201)

On Asymptotically Nonexpansive Semigroups of Mappings [PDF]

Canadian Mathematical Bulletin, 1970
A selfmapping f of a metric space (X, d) is nonexpansive (ε-nonexpansive) if d(f(x), f(y)) ≤ d(x, y) for all x, y ∊ X (respectively if d(x, y) < ε). In [1], M.
Holmes, R. D., Narayanaswami, P. P.
openaire   +3 more sources

Semigroups of order-preserving mappings

Communications in Algebra, 2000
The quasivariety consists of all [all finite] semigroups which can be embedded into a semigroup of order-preserving mappings on a chain [on a finite chain]. We give two abstract descriptions of , one using a special construction, and another using standard conditions (quasi-identities).
V.B. Repnitskiǐ, A. S. Vernitskiǐ
exaly   +2 more sources

Stuctures of Ternary Semigroup of Mappings

Lobachevskii Journal of Mathematics, 2020
A nonempty set \(S\) together with a ternary operation \( (a,b,c) \mapsto abc\) is said to be a ternary semigroup if \((abc)de = a(bcd)e = ab(cde)\) for all \(a, b, c, d, e \in S\). The authors consider ternary semigroups of mappings and matrices. Let \(X\) and \(Y\) be two nonempty sets and \(T[X,Y]\) denote the set of all pairs \((p,q)\) where \(p ...
Kar, S., Dutta, I., Shum, K. P.
openaire   +2 more sources

SEMIGROUPS OF CONFORMAL MAPPINGS

Mathematics of the USSR-Sbornik, 1987
Let \({\mathfrak L}_{\Gamma}\) denote the set of conformal mappings \(\phi\) of the disc \(E=\{z:| z|
openaire   +2 more sources

A Semigroup Approach to Harmonic Maps

Potential Analysis, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Endomorphisms of the semigroup of order-preserving mappings

Semigroup Forum, 2010
An endomorphism \(f\) of \(\{1,2,\dots,n\}\) is called order preserving provided that \(i\leq j\) implies \(f(i)\leq f(j)\). The main result of this paper gives a complete classification of the semigroup of all order-preserving endomorphisms of \(\{1,2,\dots,n\}\).
Fernandes, V. H., Jesus, M. M., Maltcev, V., Mitchell, J. D.   +3 more
openaire   +2 more sources

Semigroups of Holomorphic Mappings

2019
In this chapter we consider certain autonomous dynamical systems acting on the open unit ball of a complex Banach space. Our interest in such systems is based on the fact that if a dynamical system is differentiable with respect to time, then its derivative is a holomorphically dissipative mapping.
Mark Elin, Simeon Reich, David Shoikhet
openaire   +1 more source

The Spectral Mapping Property of Delay Semigroups

Complex Analysis and Operator Theory, 2008
This paper is concerned with the abstract delay equation \(u'(t)=Bu(t)+\sum_{j=1}^{k}C_ju(t-h_j)\), \(t\geq 0\), in a Banach space \(X\), where \(B\) is the generator of a strongly continuous semigroup on \(X\), \(C_j\) are bounded linear operators on \(X\), \(h_j\in \alpha \mathbb{Q}\) for some \(\alpha\in \mathbb{R}\) and all \(j=1,\dots,k\).
Bátkai, András, Eisner, Tanja, Latushkin, Yuri   +2 more
openaire   +1 more source

Dynamics of Semigroups of Henon Maps

Indiana University Mathematics Journal
The goal of this article is two fold. Firstly, we explore the dynamics of a semigroup of polynomial automorphisms of $\mathbb{C}^2$, generated by a finite collection of Hénon maps. In particular, we construct the positive and negative dynamical Green's functions $G_{\mathscr{G}}^\pm$ and the corresponding dynamical Green's currents $μ_{\mathscr{G}}^\pm$
openaire   +2 more sources

Multiplicative semigroups of continuous mappings

Acta Mathematica Hungarica, 1990
Shirota's and Milgram's (in fact, also Kaplansky's) results characterizing compact or realcompact spaces by means of semigroups \(C(X)\), are generalized to semigroups \(C(X,S)\) for special semigroups \(S\) (the reviewer's generalization of the above mentioned results [Math. Z. 111, 214--220 (1969; Zbl 0175.49602)], is not covered).
Császár, Á., Thümmel, E.
openaire   +1 more source