منابع مشابه
Curves of fixed points of trace maps
We study curves of fixed points for certain diffeomorphisms of R3 that are induced by automorphisms of a trace algebra. We classify these curves. There is a function E which is invariant under all such trace maps and the level surfaces Et : E = t are invariant; a point of Et will be said to have level t . The surface E1 is significant. Then most fixed points onE1 are actually on a curve γ of fi...
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A universal schema for diagonalization was popularized by N.S. Yanofsky (2003), based on a pioneering work of F.W. Lawvere (1969), in which the existence of a (diagonolized-out and contradictory) object implies the existence of a fixed-point for a certain function. It was shown that many self-referential paradoxes and diagonally proved theorems can fit in that schema. Here, we fi...
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A. Rosenfeld [23] introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images. In the current paper, we obtain additional results concerning fixed points and approxima...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 1978
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-1978-035-0