Banach空间中分裂变分包含问题和分裂不动点问题的迭代算法  

Iterative algorithms for splitting variational inclusions and splitting fixed point problems of nonexpansive mappings in Banach Spaces

作　　者：赵亚莉 李新昊 王凯文 于嘉欣 ZHAO Yali;LI Xinhao;WANG Kaiwen;YU Jiaxin(College of Mathematical Science,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学数学科学学院,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2024年第1期41-52,共12页Journal of Bohai University:Natural Science Edition

基　　金：辽宁省教育厅科学基金项目(No:LJKMZ20221491).

摘　　要：提出了一种新的迭代算法,求解一致凸光滑Banach空间中非扩张映射分裂不动点问题和分裂变分包含问题.在适当的条件下,证明了该算法的强收敛性定理.所得结果改进和推广了相关文献的相应结果.In this paper,we introduce a new iterative algorithm to solve split variational inclusion problem and split fixed point problem of nonexpansive mappings in uniformly convex smooth Banach spaces.Under suitable control conditions,the strong convergence theorem of the algorithm is proved.Our main results presented here improve and extend the corresponding results in this area.

关 键 词：BANACH空间 分裂变分包含问题 分裂不动点问题 非扩张映射 收敛性 

分 类 号：O177.91[理学—数学]