巴拿赫空间中分裂公共不动点问题的迭代逼近  

Iterative approximation of the split common fixed point problem in Banach spaces

作　　者：陈丽君[1] CHEN Lijun(Jinshan College of Fujian Agriculture and Forest University,Fuzhou,Fujian 350002,China)

机构地区：[1]福建农林大学金山学院,福建福州350002

出　　处：《闽南师范大学学报(自然科学版)》2025年第1期116-123,共8页Journal of Minnan Normal University:Natural Science

基　　金：福建省中青年教师教育科研项目(JAT210662);福建农林大学金山学院青年教师科研项目(kx230301)。

摘　　要：在巴拿赫空间中研究关于渐近严格伪压缩映射的分裂公共不动点问题,提出一种新的迭代算法,并在不同参数条件下证明了该算法的弱收敛与强收敛定理。最后将该算法进一步应用到解决分层变分不等式问题的解集中,并得到了对应的收敛定理。A split common fixed point of asymptotically strict pseudo-contractive mappings is investigated in Banach spaces,and a new iterative algorithm is constructed.Moreover,the weak convergence theorem and strong convergence theorem of the algorithm are proved under different parameter conditions,respectively.Finally,the algorithm is further applied to the solution set of hierarchical variational inequality problems,and the corresponding convergence theorem is obtained.

关 键 词：渐近严格伪压缩映射 分裂公共不动点问题 巴拿赫空间 收敛性 

分 类 号：O177.91[理学—数学]