Uniqueness of entire functions and fixed points
نویسندگان
چکیده
منابع مشابه
Fixed-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 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 کاملUniqueness theorems of entire and meromorphic functions sharing small function
In this paper, we deal with some uniqueness theorems of two transcendental meromorphic functions with their non-linear differential polynomials sharing a small function. These results in this paper improve those given by of Fang and Hong [M.L.Fang and W.Hong,A unicity theorem for entire functions concerning differential polynomials,Indian J.Pure Appl.Math.32.(2001),No.9,1343-1348.], I.Lahiri an...
متن کاملFixed Points of Composite Entire and Quasiregular Maps
We give a new proof of the result that if f and g are entire transcendental functions, then f ◦g has infinitely many fixed points. The method yields a number of generalizations of this result. In particular, it extends to quasiregular maps in R.
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 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: Annales Polonici Mathematici
سال: 2010
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap97-1-7