Results 11 to 20 of about 11,008 (207)

The Schauder fixed point theorem in random normed modules [PDF]

open access: greenMathematische Annalen, 2021
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
  +6 more sources

A Schauder-type fixed point theorem

open access: yesJournal of Mathematical Analysis and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T A Burton
exaly   +4 more sources

On a sharpened form of the Schauder fixed-point theorem [PDF]

open access: greenProceedings of the National Academy of Sciences, 1977
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
openalex   +5 more sources

Fixed point theorems in locally convex spaces—the Schauder mapping method

open access: greenFixed Point Theory and Applications, 2006
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
doaj   +3 more sources

A Schauder fixed point theorem in semilinear spaces and applications [PDF]

open access: goldFixed Point Theory and Applications, 2013
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
openalex   +3 more sources

The Schauder fixed point theorem in geodesic spaces

open access: yesJournal of Mathematical Analysis and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Ariza-Ruiz   +2 more
exaly   +2 more sources

Some Generalizations of Mulit-Valued Version of Schauders Fixed Point Theorem with Applications [PDF]

open access: diamondCubo (Temuco), 2010
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
openalex   +5 more sources

A remark to the Schauder fixed point theorem

open access: bronzeTopological Methods in Nonlinear Analysis, 2000
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
openalex   +6 more sources

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