A Kobayashi Metric Version of Bun Wong’s Theorem
نویسندگان
چکیده
The research of the first named author is supported in part by the KOSEF Grant R01-2005-000-10771-0 of The Republic of Korea. He also would like to thank the Centre de Mathematiques et Informatiques, Université de Provence, Aix-Marseille 1 (France) for its hospitality at the final stage of this work. Both authors thank the American Institute of Mathematics for its hospitality during a portion of this work. The second named author has grants from the National Science Foundation and the Dean of the Graduate School at Washington University.
منابع مشابه
ON COMPACTNESS AND G-COMPLETENESS IN FUZZY METRIC SPACES
In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec in- troduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Ba- nachs contraction principle. According to the classical case, one can expect that a compact fuzzy metric space be complete in Grabiecs sense. We show here that this is not the case,...
متن کامل$G$-asymptotic contractions in metric spaces with a graph and fixed point results
In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metr...
متن کاملLandau’s Theorem for Holomorphic Curves in Projective Space and The Kobayashi Metric on Hyperplane Complements
We prove an effective version of a theorem of Dufresnoy: For any set of 2n + 1 hyperplanes in general position in Pn, we find an explicit constant K such that for every holomorphic map f from the unit disc to the complement of these hyperplanes, we have f#(0) ≤ K, where f# denotes the norm of the derivative measured with respect to the Fubini-Study metric. This result gives an explicit lower bo...
متن کاملA Schwarz Lemma for Correspondences and Applications
A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the ‘non-increasing’ property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a ‘non-compact’ family of proper correspon-
متن کاملFIXED POINT THEOREM OF KANNAN-TYPE MAPPINGS IN GENERALIZED FUZZY METRIC SPACES
Binayak et al in [1] proved a fixed point of generalized Kannan type-mappings in generalized Menger spaces. In this paper we extend gen- eralized Kannan-type mappings in generalized fuzzy metric spaces. Then we prove a fixed point theorem of this kind of mapping in generalized fuzzy metric spaces. Finally we present an example of our main result.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008