摘要
利用不动点定理,分别证明了在自反Banach空间中极大单调算子值域扰动的抽象结论和在H ilbert空间中m增生映射值域的扰动结果,这些结论是对以往一些工作的推广;然后,利用文中的新结论讨论了一类微分方程解的存在性.
By using the fixed point theorems, some abstract results on perturbations of ranges for maximal monotone operators in reflexive Banach space and for m-accretive mappings in Hilbert space which are improvement to some previous works are given. Later, the existence of the solution of one kinds of differential equations is discussed by using the new results given in this paper.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第4期232-239,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金项目(10471033)
关键词
极大单调算子
紧映射
demi连续映射
增生映射
对偶映射
Maximal monotone operator
compact mapping
demi-continuous mapping
accretive mapping
duality mapping
