SINCE there are many difficulties in finding a single root of a polynomial, it becomes moreand more important for parallel iterations to determine all roots simultaneously. Among theproposed methods, the iterative fam...
WE have obtained the convergence theorems of the iteration of Halley family by the point estimate of Smale. In the point estimate, map f which is desired to be solved is presumed to be analytic in some proper neighbor...
LET E be a real Banach space with norm ||·||,E~* a uniformly convex dual space.Let K bea nonempty closed convex and bounded subset of E,T:K→K a continuous strongly pseudo-contractive mapping.Recently,Chidume proved ...
Project supported by the Tianyuan Foundation of China.
1 Introduction and Main Results For an entire function f(z), we denote the n-th iteration of f by f^n. The Fatouset of f is defined by F(f)={z∈C|{f^n} is normal at z}, the complement J(f)=C\F(f)is called Julia set. A...
Project supported by the National Post Doctorial Science Foundation of China
1 Additive and Multiplicative Schwarz Method Let ΩRn be a polygonal region, be the variational form of an elliptic boundary value problem defined on Ω. a(·,·) is symmetric positive definite and it int...
Many studies have shown the pronounced statistical relationship between seasonal averaged 500 hPa height departures in the preceding winter/spring and rainfall anomalies over China in the following summer (June—Augus...
Project supported by the National Natural Science Foundation of China.
A. Grzegorczyk listed in [1] nine important open problems, of which the seventh has been answered positively by R. W. Ritchie. Now, we shall answer negatively the ninth
Project supported by the National Natural Science Foundation of China
The study of the dynamics of rational maps, which is well known now, has centered on the self-iteration of a single rational map. The IFS (Iterated Function Systems) introduced by Bamsley et al), which are used to gen...
Ref. [1] studies problems concerned by using the nature of mixed monotone of two-element nonlinear operators. As for mixed monotone operator, Ref. [2] studies the minimax solution