Results 11 to 20 of about 11,008 (207)
The Schauder fixed point theorem in random normed modules [PDF]
Motivated by the randomized version of the classical Bolzano--Weierstrass theorem, in this paper we first introduce the notion of a random sequentially compact set in a random normed module and develop the related theory systematically. From these developments, we prove the corresponding Schauder fixed point theorem: let $E$ be a random normed module ...
Tiexin Guo +3 more
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A Schauder-type fixed point theorem
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T A Burton
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On a sharpened form of the Schauder fixed-point theorem [PDF]
If K is a compact convex subset of a locally convex topological vector space X , we consider a continuous mapping f of K into X .
Felix E. Browder
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Fixed point theorems in locally convex spaces—the Schauder mapping method
In the appendix to the book by F. F. Bonsal, Lectures on Some Fixed Point Theorems of Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-Tychonoff fixed point theorem, based on a locally convex variant of Schauder ...
Cobzaş S
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A Generalization of the "Brouwer-Schauder-Tychonoff" Fixed-Point Theorem [PDF]
5 ...
Ranjit Vohra
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A Schauder fixed point theorem in semilinear spaces and applications [PDF]
Abstract In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces. MSC:34A07, 34A08.
Ravi P. Agarwal +3 more
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The Schauder fixed point theorem in geodesic spaces
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David Ariza-Ruiz +2 more
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Some Generalizations of Mulit-Valued Version of Schauders Fixed Point Theorem with Applications [PDF]
Let \(E\) be a Banach space and \(\mu \) an axiomatically defined measure of noncompactness in \(E\). The following theorem is the main result of this paper: Let \(X\) be a closed, convex and bounded subset of \(E\) and \(Q:X\to 2^X\) a multi-valued mapping with closed graph and convex values.
Bapurao C. Dhage
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Generalizations of the Nonlinear Henry Inequality and the Leray–Schauder Type Fixed Point Theorem with Applications to Fractional Differential Inclusions [PDF]
John R Graef, Abdelghani Ouahab
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A remark to the Schauder fixed point theorem
In the paper, a partial answer to a conjecture formulated by \textit{R. D. Nussbaum} [Trans. Am. Math. Soc. 171, 349-375 (1972; Zbl 0256.47040)], regarding an asymptotic version of the Schauder fixed point theorem, is given. The result (Theorem 3) may be read as follows: Let \(M\) be a nonempty convex and closed subset of a Banach space \(X\) and \(T:M
Valter Šeda
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