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.