Results 191 to 200 of about 11,008 (207)

On the Schauder-Tychonoff Fixed Point Theorem

Real Analysis Exchange
exaly   +2 more sources

The Schauder and Krasnoselskii Fixed-Point Theorems on a Frechet Space

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toufic El Arwadi, Mohamed Amine Cherif
openaire   +1 more source

The Fixed Point Theorems of Brouwer and Schauder

1997
We are going to dedicate the first chapter to the study of the fixed point theorem of Schauder [S, 1930]. We have divided the chapter into two parts: In the first part we give the finite dimensional version of Schauder’s fixed point theorem (usually known as Brouwer’s theorem [Br, 1912], though an equivalent form had been proved by Poincare [Po, 1886]).
J. M. Ayerbe Toledano, T. Domínguez Benavides, G. López Acedo   +2 more
openaire   +1 more source

The Schauder Fixed-Point Theorem

2016
Recall that to say a metric space has the fixed-point property means that every continuous mapping taking the space into itself must have a fixed point. In Chap. 4 we proved two versions of the Brouwer Fixed-Point Theorem: The “Ball” version (Theorem 4.1). The closed unit ball of\(\mathbb{R}^{N}\)has the fixed-point property,
openaire   +1 more source

Schauder’s Fixed Point Theorem and Allied Theorems

2018
Attempts to extend Brouwer’s fixed point theorem to infinite dimensional spaces culminated in Schauder’s fixed point theorem [20]. The need for such an extension arose because existence of solutions to nonlinear equations, especially nonlinear integral and differential equations can be formulated as fixed point problems in function-spaces. This chapter
openaire   +1 more source

Schauder's fixed point theorem and Pontryagin maximum principle

Izvestiya: Mathematics
We prove the Pontryagin maximum principle for a general optimal control problem. The main ingredient of the proof is the abstract lemma on an inverse function, which is proved via the Schauder fixed-point theorem. Under this approach, the proof of the Pontryagin maximum principle is quite short and transparent.
Avakov, Evgeny R., Magaril-Il'yaev, Georgii G.   +1 more
openaire   +2 more sources

The Schauder-Tychonoff Fixed Point Theorem

2019
In order to prove the main result of this chapter, the Schauder-Tychonoff fixed point theorem, we first need a definition and a lemma.
openaire   +1 more source

Solutions of Fredholm type integral equations via the classical Schauder fixed point theorem

Journal of Integral Equations and Applications, 2021
Merve Temizer Ersoy
exaly  

The Schauder Fixed-Point Theorem and Compactness

1986
openaire   +1 more source

Remarks on Schauder's Fixed-Point Theorem

1966
openaire   +1 more source