Ф-强增生型随机变分包含解的迭代逼近  

Iterative approximations of solutions for random variational inclusions withФ-stongly accretive type mappings

作　　者：张树义[1] 聂辉 张芯语 ZHANG Shu-yi;NIE Hui;ZHANG Xin-yu(School of Mathematics and Physics,Bohai University,Jinzhou 121013,P.R.C.)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《西南民族大学学报（自然科学版）》2020年第1期54-65,共12页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(11371070)。

摘　　要：在没有任何有界的条件下,在可分的Banach空间中研究一类Ф-强增生型随机变分包含解带混合误差的随机Noor迭代序列收敛性问题,在适当的条件下,建立了随机变分包含解随机Noor迭代序列的强收敛性定理,从而推广和改进了有关文献中的相应结果.The convergence problem of random Noor iterative sequences with mixed errors for random variational inclusion withФ-stongly accretive type mappings is studied in separable reflexive Banach spaces without any boundedness.Under suitable conditions,the strong convergence theorem of random Noor iterative sequences of solutions for random variational inclusion is established,which extends and improves the corresponding results of some reference.

关 键 词：随机变分包含 可测函数 Ф-强增生映象 随机Noor迭代序列 

分 类 号：O177.91[理学—数学]