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The Schauder Fixed Point Theorem for Nonexpensive Mappings

The American Mathematical Monthly, 1977
(1977). The Schauder Fixed Point Theorem for Nonexpansive Mappings. The American Mathematical Monthly: Vol. 84, No. 5, pp. 363-364.
W. G. Dotson, W. R. Mann
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Schauder-Tychonoff fixed point theorem

2023
In this paper, we study the schauder-tychonoff fixed point(STFP) on a subset A of a sequentially complete Hausdorff strongly convex topological vector space (SCHSCTVS) E (over the field R) with calibration Γ have a unique STFP in Topological Vector Space(TVS).
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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,
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Applications of Schauder’s fixed point theorem to singular radially symmetric systems

Journal of Fixed Point Theory and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Shengjun, Tang, Xianhua, Luo, Huxiao
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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
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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
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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
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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.
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Applications of Schauder's fixed point theorem to singular differential equations

Bulletin of the London Mathematical Society, 2007
In this paper, we study the existence of positive periodic solutions to second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results show that in some situations weak singularities can help create periodic solutions, as pointed out by Torres [J. Differential Equations 232 (2007) 277–284].
Jifeng Chu, Pedro J. Torres
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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
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