摘要
令E为实光滑、一致凸Banach空间,E*为其对偶空间.令AiE×E*,i=1,2,…,m,为极大单调算子且∩mi=1Ai-10≠φ.将给出一种计算量较小的新迭代算法,并利用Lyapunov泛函与广义投影算子等技巧,证明迭代序列弱收敛于A的公共零点,i=1,2,…,m.
Let E be a real smooth and uniformly convex Banach space with E^＊ its duality space. For AiE×E＊,i=1,2,…,m, be maximal monotone operators with ∩mi=1Ai-10≠φ.. A new simpler iterative scheme is introduced which is proved to be weakly convergent to common zero points of maximal monotone operators Ai,i = 1,2,…,m, by using the techniques of Lyapunov functional and generalized projection operator, etc.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第20期136-140,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金项目(10771050)
