- fixed point property
- мат. свойство неподвижной точки
English-Russian scientific dictionary. 2008.
fixed point property
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Fixed point property — A mathematical object X has the fixed point property if every suitably well behaved mapping from X to itself has a fixed point. It is a special case of the fixed morphism property. The term is most commonly used to describe topological spaces on… … Wikipedia
Fixed point (mathematics) — Not to be confused with a stationary point where f (x) = 0. A function with three fixed points In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is a point[1] that is … Wikipedia
Fixed point theorem — In mathematics, a fixed point theorem is a result saying that a function F will have at least one fixed point (a point x for which F ( x ) = x ), under some conditions on F that can be stated in general terms. Results of this kind are amongst the … Wikipedia
Fixed point space — In mathematics, a Hausdorff space X is called a fixed point space if every continuous function f:X ightarrow X has a fixed point.For example, any closed interval [a,b] in mathbb R is a fixed point space, and it can be proved from the intermediate … Wikipedia
Kakutani fixed point theorem — In mathematical analysis, the Kakutani fixed point theorem is a fixed point theorem for set valued functions. It provides sufficient conditions for a set valued function defined on a convex, compact subset of a Euclidean space to have a fixed… … Wikipedia
Brouwer fixed point theorem — In mathematics, the Brouwer fixed point theorem is an important fixed point theorem that applies to finite dimensional spaces and which forms the basis for several general fixed point theorems. It is named after Dutch mathematician L. E. J.… … Wikipedia
Kazhdan's property (T) — In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology. Informally, this means that if G acts unitarily on a Hilbert space and… … Wikipedia
property — prop·er·ty n pl ties [Anglo French propreté proprieté, from Latin proprietat proprietas, from proprius own, particular] 1: something (as an interest, money, or land) that is owned or possessed see also asset, estate, interest … Law dictionary
Point — Point, n. [F. point, and probably also pointe, L. punctum, puncta, fr. pungere, punctum, to prick. See {Pungent}, and cf. {Puncto}, {Puncture}.] 1. That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing… … The Collaborative International Dictionary of English
Point lace — Point Point, n. [F. point, and probably also pointe, L. punctum, puncta, fr. pungere, punctum, to prick. See {Pungent}, and cf. {Puncto}, {Puncture}.] 1. That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing… … The Collaborative International Dictionary of English
Point net — Point Point, n. [F. point, and probably also pointe, L. punctum, puncta, fr. pungere, punctum, to prick. See {Pungent}, and cf. {Puncto}, {Puncture}.] 1. That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing… … The Collaborative International Dictionary of English
