Banach空间中关于m-增生算子零点的黏性隐式迭代序列的强收敛定理  

The Strong Convergence Theorems for Viscosity Implicit Iterative Sequences of the Zeros of m-Accretive Operators in Banach Spaces

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

机构地区：[1]浙江开放大学温岭学院,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：《贵州大学学报（自然科学版）》2023年第3期11-17,29,共8页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金资助项目(12171435)。

摘　　要：在自反一致凸Banach空间中,构造了一种关于m-增生算子零点的隐性黏滞迭代序列,在合适的参数条件下,证明了该迭代序列的强收敛定理,所得结论改进和推广了一些相关文献的主要结果。The purpose of this paper is to introduce viscosity implicit algorithms for the zeros of m-accretive operators in reflexive and uniformly convex Banach spaces.Under certain conditions,strong convergence theorem of the sequence generated by the algorithm is proved and the results obtained in this article extend and improve the main results of the existing research.

关 键 词：BANACH空间 M-增生算子 黏性隐式方法 强收敛 变分不等式 

分 类 号：O177.91[理学—数学]