منابع مشابه
Giambelli Compatible Point Processes
We distinguish a class of random point processes which we call Giambelli compatible point processes. Our definition was partly inspired by determinantal identities for averages of products and ratios of characteristic polynomials for random matrices found earlier by Fyodorov and Strahov. It is closely related to the classical Giambelli formula for Schur symmetric functions. We show that orthogo...
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Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$-weak contractions,Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. In this paper, we prove a common fixed point theorem fora family of compatible maps. In fact, a new generalization of Zhangand Song's theorem is given.
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Results on common fixed points for pairs of single and multivalued mappings on a complete metric space are examined. Our work establishes a common fixed point theorem for a pair of generalized contraction self-maps and a pair of set-valued mappings.
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In this paper we prove common fixed point theorem for compatible mapping.
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Counting interior-disjoint empty convex polygons in a point set is a typical Erdős-Szekerestype problem. We study this problem for 4-gons. Let P be a set of n points in the plane and in general position. A subset Q of P with four points is called a 4-hole in P if the convex hull of Q is a quadrilateral and does not contain any point of P in its interior. Two 4-holes in P are compatible if their...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2006
ISSN: 0196-8858
DOI: 10.1016/j.aam.2005.08.005