Results 131 to 140 of about 7,742 (177)

Structured Dynamics in the Algorithmic Agent. [PDF]

open access: yesEntropy (Basel)
Ruffini G, Castaldo F, Vohryzek J.
europepmc   +1 more source

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.
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On Asymptotically Nonexpansive Semigroups of Mappings

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.
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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.
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