Results 71 to 80 of about 831,822 (202)
The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds
, 2001 Suppose one is given a discrete group G, a cocompact proper G-manifold M, and a G-self-map f of M. Then we introduce the equivariant Lefschetz class of f, which is globally defined in terms of cellular chain complexes, and the local equivariant Lefschetz
Lueck, Wolfgang, Rosenberg, Jonathan
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Proceedings of the American Mathematical Society, 1957 Barrett O'Neill, Ernst Straus
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A fixed-point theorem of Krasnoselskii
Applied Mathematics Letters, 1998 Krasnosel'skij's fixed-point theorem asks for a convex set \(M\) and a mapping \(Pz=Bz+Az\) such that (i) \(Bx+Ay\in M\) for each \(x,y\in M\), (ii) \(A\) is continuous and compact, (iii) \(B\) is a contraction. Then \(P\) has a fixed point. A careful reading of the proof reveals that (i) need only ask that \(Bx+Ay\in M\) when \(x=Bx+Ay\).
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An answer to a question of herings et al [PDF]
One answers to an open question of Herings et al. (2008), by proving that their fixed point theorem for discontinuous functions works for mappings defined on convex compact subset of $\R^n$, and not only polytopes. This fixed point theorem can be applied
Philippe Bich
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Minimax and fixed point theorems
Mathematische Annalen, 1980 Since then, numerous applications of this interesting theorem have been found. The object of this note is to obtain a generalization of Theorem 1 by relaxing, among the others, the compactness condition. It contains a fixed point theorem for maps with inwardness or outwardness conditions given by Fan [6]. As its direct consequence, we also obtain a new
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III. Some new theorems on the motion of a body about a fixed point [PDF]
, 1873 Edward John Routh
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On coincidence theorems for a family of mappings in convex metric spaces
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper, a theorem on common fixed points for a family of mappings defined on convex metric spaces is presented. This theorem is a generalization of the well known fixed point theorem proved by Assad and Kirk. As an application a common fixed point
Olga Hadzic
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A fixed point theorem of the alternative, for contractions on a generalized complete metric space [PDF]
, 1968 J. B. Díaz, Beatriz Margolis
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