Banach空间中m-d增生映射零点的强弱收敛定理  

STRONG AND WEAK CONVERGENCE THEOREMS FOR ZEROS OF m-d-ACCRETIVE MAPPINGS IN BANACH SPACES

作　　者：魏利[1] 刘元星[1] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061

出　　处：《数学杂志》2016年第3期573-583,共11页Journal of Mathematics

基　　金：国家自然科学基金资助(11071053);河北省自然科学基金项目资助(A2014207010);河北省教育厅科学研究重点项目资助(ZH2012080);河北经贸大学科学研究重点项目资助(2013KYZ01)

摘　　要：本文研究了m-d增生映射的零点以及有限个m-d增生映射公共零点的迭代设计问题.利用Lyapunov泛函与广义f投影映射等技巧,在Banach空间中,证明了迭代序列强收敛或弱收敛到m-d增生映射的零点或有限个m-d增生映射的公共零点.与以往的相关研究工作相比,迭代设计中考虑了误差项、迭代格式被简化、限定条件被削弱.The problems of iterative designs of zero point of m-d accretive mappings and common zero points of finitely many m-d accretive mappings are studied in this paper.By using the techniques of Lyapunov functional and generalized f-projection mapping,the results that the iterative sequences converge strongly or weakly to zero pint of m-d accretive mappings or common zero point of finitely many m-d accretive mappings in Banach spaces are proved.Compared to the existing work,the errors are considered in the iterative designs,the iterative schemes are simplified and the restrictions are weaken.

关 键 词：LYAPUNOV泛函 广义f投影映射 m-d增生映射 零点 

分 类 号：O177.91[理学—数学]