Brouwer Fixed-Point Theorem

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Brouwer Fixed-Point Theorem

(topology)

A well-known result in topology stating that any continuous transformation of an n-dimensional disk must have at least one fixed point.

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References in periodicals archive ?

PARK, VJM 27 (1999) [31]--This historical article is to survey the developments of the fields of mathematics directly related to the nearly ninety-year-old Brouwer fixed point theorem. We are mainly concerned with equivalent formulations and generalizations of the theorem.

ON VARIOUS MULTIMAP CLASSES IN THE KKM THEORY AND THEIR APPLICATIONS

Hence, applying Brouwer fixed point theorem to the operator f[(m).sup.1/[sigma]] (see, e.g., [18]), we see that the operator has a fixed point in L([w.bar],[bar.w]).

Existence and Uniqueness of Solutions to the Wage Equation of Dixit-Stiglitz-Krugman Model with No Restriction on Transport Costs

By the Brouwer fixed point theorem, there is at least one fixed point of [F.sup.[alpha]], that is, zero point of (1) in [[OMEGA].sup.[alpha]].

Multistability in a multidirectional associative memory neural network with delays