منابع مشابه
Diagonal arguments and fixed points
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...
متن کاملDigital Fixed Points, Approximate Fixed Points, and Universal Functions
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...
متن کاملBlowup and Fixed Points
Blowing up a point p in a manifold M builds a new manifold M̂ in which p is replaced by the projectivization of the tangent space TpM . This well–known operation also applies to fixed points of diffeomorphisms, yielding continuous homomorphisms between automorphism groups of M and M̂ . The construction for maps involves a loss of regularity and is not unique at the lowest order of differentiabili...
متن کاملCommon fixed points and best proximity points of two cyclic self-mappings
*Correspondence: [email protected] 1Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia), Aptdo. 644, Bilbao, Bilbao 48080, Spain Full list of author information is available at the end of the article Abstract This paper discusses three contractive conditions for two 2-cyclic self-mappings defined on the union of two nonempty subsets of ...
متن کاملFixed Points in Self–Similar Analysis of Time Series
Two possible definitions of fixed points in the self–similar analysis of time series are considered. One definition is based on the minimal– difference condition and another, on a simple averaging. From studying stock market time series, one may conclude that these two definitions are practically equivalent. A forecast is made for the stock market indices for the end of March 1998. Time series ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1984
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171284000296