Schauder fixed point theorem - Open Access .click

Journal of Fixed Point Theory and Applications, 2019
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Shengjun Li, Xianhua Tang, Huxiao Luo
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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 (
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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 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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fixed-point theorem
pure mathematics
mathematical analysis

brouwer fixed-point theorem
fixed point
discrete mathematics

geometry
applied mathematics
picard–lindelöf theorem