Banach空间中一类分裂等式可行问题的强收敛定理  

Strong Convergence Theorem of a Class of Split Equality Feasible Problems in Banach Space

作　　者：陈丽君[1] 程丽[2] Chen Lijun;Cheng Li(Jinshan College,Fujian Agriculture and Forestry University,Fuzhou 350002,China;College of Computer and Information Sciences.Fujian Agriculture and Forestry University,Fuzhou 350002,China)

机构地区：[1]福建农林大学金山学院,福建福州350002 [2]福建农林大学计算机与信息学院,福建福州350002

出　　处：《宁夏大学学报（自然科学版）》2023年第4期317-322,共6页Journal of Ningxia University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(2021J01621);福建省中青年教师教育科研基金资助项目(JAT210662)。

摘　　要：为了在Banach空间中得到分裂等式公共不动点问题的强收敛性,在适当的条件下构造了一种新的迭代算法,并在更具一般性的条件下证明了由该算法生成的序列强收敛于分裂等式不动点问题的一个解.最后,根据所得结论进一步得到了分裂等式均衡问题与极大单调算子零点问题的强收敛性定理.In order to obtain the strong convergence theorem of split equality fixed point problems in Banach space.a new iterative algorithm is constructed in appropriate conditions.Then.under more general conditions.it is proved that the sequence generated by the algorithm converges strongly to a solution of the fixed point problem of split equality.Finally,the strong convergence theoretns of the split equality equilibrium problem and the zero point problem of the maximal monotone operator are attained according to the obtained results.

关 键 词：分裂等式不动点问题 BANACH空间 拟非扩张映射 强收敛 

分 类 号：O177.2[理学—数学]