ON ROSENBLOOM'S FIXED-POINT THEOREM AND RELATED RESULTS

Mingliang Fang,Wenjun Yuan

ON ROSENBLOOM'S FIXED-POINT THEOREM AND RELATED RESULTS

2000

Mingliang Fang
Wenjun Yuan

In this paper, we improve the Rosenbloom's fixed-point theorem and prove a related normality criterion. We also consider the corresponding unicity theorem for transcendental entire functions.

Keywords:

Mathematical analysis
Fixed-point theorem
Mean value theorem (divided differences)
Kakutani fixed-point theorem
Arzelà–Ascoli theorem
Picard–Lindelöf theorem
Topology
Danskin's theorem
Mathematics
Brouwer fixed-point theorem
Carlson's theorem
Fundamental theorem
Discrete mathematics
Mean value theorem

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