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An Equilibrium Existence Theorem
 Journal of Mathematical Analysis and Applications
, 1981
"... Bewley 14, Theorem l] proved an infinite dimensional equilibrium existence theorem which is a significant extension of the classical finite dimensional theorem of Arrow and Debreu [ 11. The assumptions on technology and preferences are natural and applicable in a wide variety of cases. The proof is ..."
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Cited by 8 (1 self)
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Bewley 14, Theorem l] proved an infinite dimensional equilibrium existence theorem which is a significant extension of the classical finite dimensional theorem of Arrow and Debreu [ 11. The assumptions on technology and preferences are natural and applicable in a wide variety of cases. The proof
Existence Theorems in Probability Theory
, 1996
"... this paper we present a result (called the Approximation Theorem) which intuitively says "it is enough to approximate", or "if you can find approximate solutions then you can conclude that an exact solution exists without going through the convergence argument." In the above nota ..."
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Cited by 18 (12 self)
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this paper we present a result (called the Approximation Theorem) which intuitively says "it is enough to approximate", or "if you can find approximate solutions then you can conclude that an exact solution exists without going through the convergence argument." In the above
EXISTENCE THEOREMS OF FOLDMAPS
, 2003
"... Let N and P be smooth manifolds of dimensions n and p (n ≥ p ≥ 2) respectively. A smooth map having only fold singularities is called a foldmap. We will study conditions for a continuous map f: N → P to be homotopic to a foldmap from the viewpoint of the homotopy principle. By certain homotopy pri ..."
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Cited by 11 (5 self)
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principles for foldmaps, we prove that if there exists a fiberwise epimorphism TN ⊕ θN → TP covering f, then there exists a foldmap homotopic to f, where θN is the trivial line bundle. We also give an additional condition for finding a foldmap which folds only on a finite number of spheres of dimension p
AN ELEMENTARY EQUILIBRIUM EXISTENCE THEOREM
, 2000
"... This paper gives a proof of the existence of competitive equilibrium under the added assumption that the excess demand function satisfies the weak axiom. In this case, a proof using the separating hyperplane theorem, and without using a fixed point theorem, is possible. ..."
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This paper gives a proof of the existence of competitive equilibrium under the added assumption that the excess demand function satisfies the weak axiom. In this case, a proof using the separating hyperplane theorem, and without using a fixed point theorem, is possible.
Existence Theorems For Inclusions Of The Type . . .
, 1999
"... For a family of operator inclusions with convex closedvalued righthand sides in Banach spaces, the existence of solutions is obtained by chiefly using Ky Fan's fixed point principle. The main result of the paper improves Theorem 1 in [16] as well as Theorem 2.2 of [3]. Some meaningful concret ..."
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For a family of operator inclusions with convex closedvalued righthand sides in Banach spaces, the existence of solutions is obtained by chiefly using Ky Fan's fixed point principle. The main result of the paper improves Theorem 1 in [16] as well as Theorem 2.2 of [3]. Some meaningful
Existence theorems in linear chaos
, 2008
"... Chaotic linear dynamics deals primarily with various topological ergodic properties of semigroups of continuous linear operators acting on a topological vector space. We treat questions of characterizing which of the spaces from a given class support a semigroup of prescribed shape satisfying a give ..."
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continuous operator semigroup {Tt}t�0 on ω. We specify a wide class of Fréchet spaces X, including all infinite dimensional Banach spaces with separable dual, such that there is a hypercyclic operator T on X for which the dual operator T ′ is also hypercyclic. An extension of the Salas theorem
Results 1  10
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13,407