一类变分包含问题解的多步迭代收敛性与稳定性  

Multi-step Iterative Convergence and Stability for Solutions to a Class of Variational Inclusion Problems

作　　者：张树义[1] 万美玲[1] 赵亚莉[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《数学的实践与认识》2015年第4期242-251,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11371070)

摘　　要：在实自反Banach空间中,研究k-次增生型变分包含问题,建立了这类变分包含问题解的带误差的多步迭代收敛性与稳定性定理,给出了更为一般的收敛率的估计式,从而推广和改进了新近的结果.The purpose of this paper is to study a class of variational inclusion problems with Lipschitz k-subaccretive type mappings in real Banach spaces. Convergence and stability of the multi-step iterative sequences with errors of solutions for the variational inclusion problems are established. Furthermore, more general convergence rate estimates are given in our results, which essentially improve and extend some recent results.

关 键 词：变分包含 带混误差的多步迭代序列 κ-次增生映象 T-稳定 收敛率估计 

分 类 号：O177.2[理学—数学]