Results 141 to 150 of about 775 (171)

Existence and uniqueness of well-posed fractional boundary value problem. [PDF]

open access: yesPLoS One
Wang Y   +4 more
europepmc   +1 more source

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.
Xianhua Tang   +2 more
exaly   +3 more sources

Optimal balls for the application of the Schauder Fixed-Point Theorem

Complex Variables and Elliptic Equations, 2005
The article deals with operator equations of type in a Banach space . If is only Lipschitz-continuous or locally bounded, then fixed-point theorems can be applied to bounded subsets of such as balls centered at u 0 or at the zero element Θ of . The article investigates the problem for which radius of the ball, the restrictions for admissible operators (
exaly   +2 more sources

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
openaire   +1 more source

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 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   +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,
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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
openaire   +1 more source

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