Engl, A general stochastic fixed-point theorem
for continuous random operators on stochastic domains.
Hence, by the Krasnoselkii fixed-point theorem
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
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  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  will be fundamental.