变分不等式问题和不动点问题的强收敛定理  

Strong Convergence Theorems for Variational Inequality Problems and Fixed Point Problems

作　　者：李杨 黄宜朵[1] LI Yang;HUANG Yiduo(School of Applied Mathematics,Nanjing University of Finance and Economics,210046,Nanjing,Jiangsu,China)

机构地区：[1]南京财经大学应用数学学院,江苏南京210046

出　　处：《淮北师范大学学报（自然科学版）》2019年第1期11-18,共8页Journal of Huaibei Normal University：Natural Sciences

基　　金：江苏省研究生科研与实践创新计划项目(KYCX18_1386)

摘　　要：在Hilbert空间的背景下,文章研究变分不等式问题和非扩张映射不动点问题.为寻求二者的一公共近似解,引进带误差的修正三步迭代程序,并证明该程序生成的序列强收敛到变分不等式问题与非扩张映射不动点问题的一公解,推广和改进相关结果.Under the background of Hilbert space,the variational inequality problem and the fixed point problem of nonexpansive mappings are studied in this paper.In order to find a common approximate solution,we introduce a modified three-step iterative procedure with errors,and prove that the sequence generated by the procedure converges strongly to a common solution of the variational inequality problem and the fixed point problem of nonexpansive mapping.The previous results are generalized and improved.

关 键 词：变分不等式 非扩张映射 强收敛 

分 类 号：O177[理学—数学]