Banach空间中非扩张映射和m-增生算子零点的广义隐黏性迭代方法  

A Generalized Viscosity Implicit Iterative Method for Nonexpansive Mappings and Zero Points for m-Accretive Operators in Banach Spaces

作　　者：潘灵荣 王元恒 Pan Lingrong;Wang Yuanheng(Zhejiang Radio and TV University,Wenling Institute,Wenling 317500,China;College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江广播电视大学温岭学院,浙江温岭317500 [2]浙江师范大学数学与计算机科学学院,浙江金华321004

出　　处：《宁夏大学学报（自然科学版）》2023年第1期1-7,共7页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11671365)。

摘　　要：在Banach空间框架下,给出了非扩张映射和m-增生算子零点的广义隐黏性迭代方法,在适当的参数条件下,证明了该方法生成序列的强收敛定理,推广和改进了相关文献的主要结果.The purpose of this paper is to introduce and study the general viscosity approximation methods for the implicit rule of nonexpansive mappings and zero point problems for m-accretive in Banach spaces.Under suitable conditions imposed on the parameters,strong convergence theorem of the sequence generated by the algorithm is proved.The results presented in this article extend and improve the main results of related literature.

关 键 词：BANACH空间 非扩张映射 M-增生算子 黏性迭代方法 变分不等式 

分 类 号：O177.91[理学—数学]