Uniqueness of holomorphic Abel functions at a complex fixed point pair
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of common coupled fixed point results via auxiliary functions
The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed $g$-monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.
متن کاملFixed Point Theorems for Infinite Dimensional Holomorphic Functions
This talk discusses conditions on the numerical range of a holomorphic function defined on a bounded convex domain in a complex Banach space that imply that the function has a unique fixed point. In particular, extensions of the Earle-Hamilton Theorem are given for such domains. The theorems are applied to obtain a quantitative version of the inverse function theorem for holomorphic functions a...
متن کاملexistence and uniqueness of common coupled fixed point results via auxiliary functions
the purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed $g$-monotone property in partially ordered metric spaces. also, we present a result on the existence and uniqueness of coupled common fixed points. the results presented in the paper generalize and extend several well-known results in the literature.
متن کاملFixed-points and uniqueness of meromorphic functions
Let () () z g z f , be two nonconstant meromorphic functions, and let k n, be two positive integers with. 7 3 + ≥ k n If () () k n f and () () k n g share () z f z CM; and () z g share , IM ∞ then (1) () () z tg z f = for ; 2 ≥ k (2) either () () 2 2 2 1 , cz cz e c z g e c z f − = = or () () z tg z f = for , 1 = k where , , 2 1 c c and c are three nonzero constants satisfying () 1 4 2 2 1 2 − ...
متن کاملFixed Point Indices and Periodic Points of Holomorphic Mappings
Let ∆ be the ball |x| < 1 in the complex vector space C, let f : ∆ → C be a holomorphic mapping and let M be a positive integer. Assume that the origin 0 = (0, . . . , 0) is an isolated fixed point of both f and the M -th iteration f of f . Then for each factor m of M, the origin is again an isolated fixed point of f and the fixed point index μfm(0) of f m at the origin is well defined, and so ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2010
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-010-0021-6