一类多值算子方程的迭代解法  

Iterative Method for a Kind of Multivalued Operator Equation

作　　者：黄象鼎[1] 肖进胜[1] 雷晋干 

机构地区：[1]武汉大学数学与计算机科学学院,武汉430072

出　　处：《应用泛函分析学报》2001年第2期159-163,共5页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金资助项目(19771062)

摘　　要：本文讨论Ｈｉｌｂｅｒｔ空间上具有强单调、上半 Ｌｉｐｓｃｈｉｔｚ连续性质的多值算子方程的求解方法，构造了迭代格式并证明迭代过程是收敛的；同时给出它在求解多值微分方程边值问题中的应用．In this paper, an iterative method for a kind of multivalued operator equations in the Hilbert space is discussed, where the operator is strongly monotone and satisfies the condition of Lipschitz upper semicontinuous. The convergence of iterative process is proved. As an application, an example for multivalued differential equation with boundary condition is given.

关 键 词：多值算子 强单调算子 HIBERT空间 多值算子方程 迭代解法 收敛 不动点 Lipshitz条件 

分 类 号：O241.82[理学—计算数学] O175.8[理学—数学]