Extending Two Fixpoint Theorems of Langley and Zheng
نویسندگان
چکیده
منابع مشابه
Extending Two Fixpoint Theorems of Langley and Zheng
We extend two theorems on fixpoints of f(z) by Langley and Zheng [1] to the consideration of points where f(z) = Q(z) for some rational function Q such that Q(∞) =∞. In addition, we extend the class of functions f from transcendental entire functions to meromorphic functions with relatively few poles. Mathematics Subject Classification (1991): 30D30, 30D35
متن کاملExtending a Theorem of Bergweiler and Langley Concerning Nonvanishing Derivatives
We consider the differential operator Λk defined by Λk(y) = Ψk(y) + ak−1Ψk−1(y) + . . .+ a1Ψ1(y) + a0 , where a0, . . . , ak−1 are analytic functions of restricted growth and Ψk(y) is a differential operator defined by Ψ1(y) = y and Ψk+1(y) = yΨk(y) + (Ψk(y)) for k ∈ N. We suppose that k ≥ 3, that F is a meromorphic function on an annulus A(r0), and that Λk(F ) has all its zeros on a set E such...
متن کاملReconciliation of Elementary Order and Metric Fixpoint Theorems
We prove two new fixed point theorems for generalized metric spaces and show that various fundamental fixed point principles, including: Banach Contraction Principle, Caristi fixed point theorem for metric spaces, Knaster-Tarski fixed point theorem for complete lattices, and the Bourbaki-Witt fixed point theorem for directed-complete orders, follow as corollaries of our results.
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: Results in Mathematics
سال: 2005
ISSN: 0378-6218,1420-9012
DOI: 10.1007/bf03323011