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Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature [PDF]
Fixed Point Theory and Applications, 2009 The Schauder fixed point theorem is extended to the context of metric spaces with global nonpositive curvature. Some applications are included.
Niculescu ConstantinP +1 more
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Fixed point theorems in locally convex spaces—the Schauder mapping method [PDF]
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 ...
S. Cobzaş
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Schauder-Tychonoff Fixed-Point Theorem in Theory of Superconductivity [PDF]
Journal of Function Spaces and Applications, 2013 We study the existence of mild solutions to the time-dependent Ginzburg-Landau ((TDGL), for short) equations on an unbounded interval. The rapidity of the growth of those solutions is characterized.
Mariusz Gil, Stanisław Wędrychowicz
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Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces [PDF]
Mathematics, 2020 In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
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On the Schauder fixed point theorem [PDF]
Banach Center Publications, 1996 The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
Lech Górniewicz +1 more
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On fixed point theorems of Leray–Schauder type [PDF]
Proceedings of the American Mathematical Society, 2007 In this paper we prove a few fixed points theorems of Leray–Schauder type in hyperconvex metric spaces.
Marcin Borkowski, Dariusz Bugajewski
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Leray–Schauder Fixed Point Theorems for Block Operator Matrix with an Application [PDF]
Journal of Mathematics, 2021 In this paper, we establish some new variants of Leray–Schauder-type fixed point theorems for a 2 × 2 block operator matrix defined on nonempty, closed, and convex subsets
Mohamed Amine Farid +2 more
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On a sharpened form of the Schauder fixed-point theorem [PDF]
Proceedings 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
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A remark to the Schauder fixed point theorem
Topological 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
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Uniqueness in the Schauder Fixed Point Theorem [PDF]
Proceedings of the American Mathematical Society, 1976 A condition is given which guarantees the uniqueness of the fixed point in the Brouwer and Schauder fixed point theorems. The result is applied to a nonlinear boundary value problem in physiology. 1. Let X be a real Banach space with a bounded convex open subset D, and let F: D -b D be a continuous function which is also assumed to be compact if X is ...
R. B. Kellogg
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