fixed-point theorem


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fixed-point theorem

[¦fikst ′pȯint ‚thir·əm]
(mathematics)
Any theorem, such as the Brouwer theorem or Schauder's fixed-point theorem, which states that a certain type of mapping of a set into itself has at least one fixed point.
References in periodicals archive ?
Engl, A general stochastic fixed-point theorem for continuous random operators on stochastic domains.
Hence, by the Krasnoselkii fixed-point theorem (Theorem 2.
In this article we use Schaefer's fixed-point theorem to deduce the existence of periodic solutions of infinite delay nonlinear Volterra difference equations of the form
by using a multiple fixed-point theorem to obtain three symmetric positive solutions under growth conditions on f.
1) At first, proofs of existence of an economic equilibrium were uniformly obtained by application of a fixed-point theorem of the [L.
As a consequence of Tarski's fixed-point theorem, the latter property guarantees the existence of pure-strategy Nash equilibrium points.
The text, delivered in German, was originally entitled "On Certain Equations of Economics and A Generalization of Brower's Fixed-Point Theorem (translation).
Given these assumptions, G-M-S invoke the Brouwer Fixed-Point Theorem, which states that under these givens, the curve must touch the 45-degree line at some point.
Ammon's system also discovered a proof of Banach's fixed-point theorem, a powerful theorem in higher analysis functions.
He and Jiang [10] investigated the existence of at least three positive solutions of boundary value problems for p- Laplacian dynamic equations on time scales by applying a new triple fixed-point theorem.
Singh, An application of a fixed-point theorem to approximation theory, J.
1), the following fixed-point theorem of Avery and Henderson [18] will be fundamental.

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