L_p空间中Lipschitz强单调算子方程解的迭代算法  

Iterative algorithms for the solutions of strongly monotone Lipschitz operator equations in L_p spaces

作　　者：杨延涛[1] YANG Yantao(College of Mathematics and Computer Science,Yanan University,Yanan 716000,Shaanxi Province,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《浙江大学学报（理学版）》2018年第4期409-412,共4页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(61751217);陕西省教育厅2018年科研计划专项;延安市科技局2018年科研计划项目

摘　　要：设E=L_p(1<p<∞),A:E→E~*为Lipschitz强单调算子.给出了L_p空间中Lipschitz强单调算子方程解的迭代构造算法,并证明由此算法构造的序列强收敛于A_x=0的唯一解,所得结果改进和推广了已有文献的相关结果.Let E=L p 1<p<∞,and A:E→E*be a strongly monotone and Lipschitz operator.An iterative construction algorithm for the solutions of strongly monotone Lipschitz operator equations in L p spaces is presented,and it is proved that the sequence constructed by the algorithm converges strongly to the unique solution of Ax=0.The results shown in this paper improve and generalize the recent ones in the literature.

关 键 词：强单调算子 LIPSCHITZ 算子方程 迭代算法 Lp空间 

分 类 号：O177.91[理学—数学] O241.7[理学—基础数学]