摘要
设H为Hilbert空间,A:D(A)(?)H→2~H,A称为单调的,如果 <f—g,x—y>≥0,(?)x,y∈D(A),f∈Ax,g∈Ay 称A具有线段弱连续分支,如果(?)x∈D(A),存在f∈Ax,使对任何h∈H,t>0及x+th∈D(A),存在f_t∈A(x+th),有f_t(?)f(t→0^+)。
In this paper, we apply the regularization iterative process to general monotone mapping and obtain the global convergence theorems on the iterative process for bounded monotone mappings. This results generalze and extend the ones obtained in [3],[4],[5] and [6].
出处
《工程数学学报》
CSCD
1991年第2期175-180,共6页
Chinese Journal of Engineering Mathematics
