Results 11 to 20 of about 10,899 (224)
A Tropical Version of the Schauder Fixed Point Theorem [PDF]
, 2009 A tropical version of the Schauder fixed point theorem for compact subsets of tropical linear spaces is proved.
G. B. Shpiz, G. L. Litvinov
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Asymptotic stability in the Schauder fixed point theorem [PDF]
Studia Mathematica, 1998 Summary: This note presents a theorem which gives an answer to a conjecture which appears in the book ``Matrix norms and their applications'' by \textit{G. R. Belitskij} and \textit{Yu. I. Lyubich} (1988; Zbl 0645.15019) and concerns the global asymptotic stability in the Schauder fixed point theorem.
Mau-Hsiang Shih
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A Schauder fixed point theorem in semilinear spaces and applications [PDF]
Fixed 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
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A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems
Nonlinear Analysis: Real World ApplicationsWe provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\uı cone compression-expansion type methodologies and Schauder-type ones. In particular we establish a localization of the solution of the system within the product of a conical shell and of a closed convex set.
Gennaro Infante +2 more
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Existence and uniqueness of neutral functional differential equations with sequential fractional operators. [PDF]
PLoS ONEIn this research paper, we investigate the existence and uniqueness of solutions for neutral functional differential equations with sequential fractional orders, specifically involving the [Formula: see text]-Caputo operator.
Rabah Debbar +4 more
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Some Generalizations of Mulit-Valued Version of Schauders Fixed Point Theorem with Applications [PDF]
Cubo (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
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Generalizations of F. E. Browder's sharpened form of the schauder fixed point theorem [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987 AbstractLet E be a Hausdorff topological vector space, let K be a nonempty compact convex subset of E and let f, g: K → 2E be upper semicontinuous such that for each x ∈ K, f(x) and g(x) are nonempty compact convex. Let Ω ⊂ 2E be convex and contain all sets of the form x − f(x), y − x + g(x) − f(x), for x, y ∈ K.
Kok-Keong Tan
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Fixed point theorems in locally convex spaces—the Schauder mapping method
Fixed 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
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FIXED POINT THEOREMS FOR CONDENSING MAPPINGS SATISFYING LERAY-SCHAUDER TYPE CONDITIONS
Communications of the Korean Mathematical Society, 2016 In this paper, some new fixed point theorems for condensing mappings are established based on a well known result of Petryshyn. We use several Leray-Schauder type conditions to prove new fixed point re- sults. We also obtain generalizations of Altman's theorem and Petryshyn's theorem as well. 1.
Shaini Pulickakunnel +1 more
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The Schauder fixed-point theorem for connectivity maps [PDF]
Colloquium Mathematicum, 1981 Jack Girolo
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