Results 161 to 170 of about 364 (198)
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Brouwer’s Fixed-Point Theorem: An Alternative Proof
SIAM Journal on Mathematical Analysis, 1974This paper gives an alternative proof of Brouwer’s fixed-point theorem. The expected preknowledge on the part of the reader in following the proof is the continuity of the roots of polynomial equations with respect to the coefficients, and the standard compactness argument.
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On the L-fuzzy Brouwer fixed point theorem
Fuzzy Sets and Systems, 1999Let \(L\) be a fuzzy lattice, i.e. a completely distributive lattice with an order-reversing involution. In the paper, the authors prove successfully that (1) the \(L\)-cube has the fixed point property (under the Hutton product \(L\)-topology); (2) the stratified \(L\)-cube is formed by the product of \(I^*(L)\) which is the stratification of the \(L\)
Kubiak, Tomasz, Zhang, Dexue
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Some complements to Brouwer’s fixed point theorem
Israel Journal of Mathematics, 1967The sets which can be the fixed points of a continuous function or a homeomorphism ofB n are investigated.
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Brouwer's fixed point theorem (abstract only)
ACM Communications in Computer Algebra, 2008"Brouwer's Fixed Point Theorem" was named after the Dutch mathematician "L. E. J. Brouwer". This theorem states that for every continuous function "f" mapped onto itself at a given interval, has at least one fixed point such that "f(x0) = x0". The proof of this theorem uses what is called "Sperner's Lemma" (by Emanuel Sperner), which would be the one ...
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2018
It is more than a century since Brouwer [4] proved a fixed- point theorem of great consequence, in the setting of finite-dimensional Euclidean spaces. It was subsequently extended to normed linear spaces by Schauder [25], and later to locally convex linear topological spaces by Tychonoff [31].
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It is more than a century since Brouwer [4] proved a fixed- point theorem of great consequence, in the setting of finite-dimensional Euclidean spaces. It was subsequently extended to normed linear spaces by Schauder [25], and later to locally convex linear topological spaces by Tychonoff [31].
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Brouwer’s Approximate Fixed-Point Theorem is Equivalent to Brouwer’s Fan Theorem
2009Item does not contain ...
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History of the Brouwer Fixed Point Theorem
2020The history of the Brouwer fixed point theorem, closely linked to the history of the Brouwer degree, is particularly intricated and is a case story showing the ‘nonlinear’ character of the evolution of mathematics. After describing and commenting the fundamental contribution of Brouwer, it is shown how it has been in one way or another anticipated by ...
George Dinca, Jean Mawhin
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Satisficing behavior, Brouwer?s Fixed Point Theorem and Nash Equilibrium
Economic Theory, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Becker, Robert A., Chakrabarti, Subir K.
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A Remark on the Caristi’s Fixed Point Theorem and the Brouwer Fixed Point Theorem
2020It is well-known that a partial order induced from a lower semi-continuous map gives us a clear picture of a proof of the Caristi’s fixed point theorem. The proof utilized Zorn’s lemma to guarantee the existence of a minimal element which turns out to be a desired fixed point.
S. Dhompongsa, P. Kumam
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Brouwer's fixed point theorem and the madeleine moment
Journal of Mathematics and the Arts, 2018Drawing from topology and literature, this paper seeks to show how the key factors involved in the experience, enjoyment, and understanding of poetry may be illustrated using Brouwer's fixed point ...
Sânziana Caraman, Lorelei Caraman
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