Results 81 to 90 of about 11,066 (183)
Monotone principle of forked points and its consequences [PDF]
Mathematica Moravica, 2015 This paper presents applications of the Axiom of Infinite Choice: Given any set P, there exist at least countable choice functions or there exist at least finite choice functions.
Tašković Milan R.
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Solution, extensions and applications of the Schauder's 54th problem in Scottish book [PDF]
Mathematica Moravica, 2016 This paper presents the Axiom of Infinite Choice: Given any set P, there exist at least countable choice functions or there exist at least finite choice functions. The author continues herein with the further study of two papers of the Axiom of Choice in
Tasković Milan R.
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On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem (forthcoming in ``Applied Mathematics and Computation''(Elsevier)) [PDF]
We will show that in the case where there are two individuals and three alternatives (or under the assumption of free-triple property) the Arrow impossibility theorem for social welfare functions that there exists no social welfare function which ...
Yasuhito Tanaka
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Computability and Analysis, a Historical Approach
, 2016 The history of computability theory and and the history of analysis are surprisingly intertwined since the beginning of the twentieth century. For one, \'Emil Borel discussed his ideas on computable real number functions in his introduction to measure ...
Brattka, Vasco
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Mistake in Hirsch’s proof of the Brouwer Fixed Point Theorem [PDF]
Proceedings of the American Mathematical Society, 1999 A mistake in Hirsch’s proof of the Brouwer Fixed Point Theorem, based on the Simplicial Approximation Theorem, is pointed out along with some elaboration of its nature and possible ways to salvage Hirsch’s proof.
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A Geometric Approach to Combinatorial Fixed-Point Theorems [PDF]
, 2013 We develop a geometric framework that unifies several different combinatorial fixed-point theorems related to Tucker's lemma and Sperner's lemma, showing them to be different geometric manifestations of the same topological phenomena.
Grant, Elyot, Ma, Will
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Brouwer Fixed Point Theorem in (L^0)^d
Fixed Point Theory and Applications, 2013 The classical Brouwer fixed point theorem states that in R^d every continuous function from a convex, compact set on itself has a fixed point. For an arbitrary probability space, let L^0 = L^0 (Ω, A,P) be the set of random variables. We consider (L^0)^d as an L^0-module and show that local, sequentially continuous functions on closed and bounded ...
Drapeau, Samuel +3 more
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On the existence of approximated equilibria in discontinuous economies. [PDF]
In this paper, we prove an existence theorem for approximated equilibria in a class of discontinuous economies. The existence result is a direct consequence of a discontinuous extension of Brouwer’s fixed point Theorem (1912), and is a refinement of ...
Bich, Philippe
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The Brouwer Fixed Point Theorem applied to rumour transmission
Applied Mathematics Letters, 2006 AbstractThe results of the Brouwer Fixed Point Theorem are extended to continuous dynamical systems. It is shown that if there exists a compact convex positive invariant set for the dynamical system, then this convex positive invariant set contains an equilibrium point.
William Basener +2 more
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Intuitionistic fixed point theories over Heyting arithmetic [PDF]
, 2010 In this paper we show that an intuitionistic theory for fixed points is conservative over the Heyting arithmetic with respect to a certain class of formulas. This extends partly the result of mine.
Arai, Toshiyasu
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