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fixed points theory

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  • 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 lemma for normal functions — The fixed point lemma for normal functions is a basic result in axiomatic set theory stating that any normal function has arbitrarily large fixed points (Levy 1979: p. 117). It was first proved by Oswald Veblen in 1908. Background and formal… …   Wikipedia

  • Fixed point index — In mathematics, the fixed point index is a concept in topological fixed point theory, and in particular Nielsen theory. The fixed point index can be thought of as a multiplicity measurement for fixed points.The index can be easily defined in the… …   Wikipedia

  • Fixed-point theorems in infinite-dimensional spaces — In mathematics, a number of fixed point theorems in infinite dimensional spaces generalise the Brouwer fixed point theorem. They have applications, for example, to the proof of existence theorems for partial differential equations. The first… …   Wikipedia

  • Fixed point combinator — A fixed point combinator (or fixed point operator) is a higher order function that computes a fixed point of other functions. This operation is relevant in programming language theory because it allows the implementation of recursion in the form… …   Wikipedia

  • Theory of Forms — Plato s Theory of Forms [The name of this aspect of Plato s thought is not modern and has not been extracted from certain dialogues by modern scholars. The term was used at least as early as Diogenes Laertius, who called it (Plato s) Theory of… …   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

  • Dynamical systems theory — is an area of applied mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical …   Wikipedia

  • Attachment theory — …   Wikipedia

  • Domain theory — is a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called domains. Consequently, domain theory can be considered as a branch of order theory. The field has major applications in computer science,… …   Wikipedia

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