一类具有Lipschitz条件的增生型变分包含解的存在性与逼近性问题

Existence and approximation problems of solutions to a class of variational inclusions with Lipschitz condition

在自反Banach空间中,研究了一类具有Lipschitz条件的增生型变分包含解的存在性以及具有混合误差项的Ishikawa和Mann迭代程序的收敛性问题。所得结果改进和推广了CHANGSS,赵富坤,胥成林,DINGXP和ZENGLC等人的一系列相关结果。

The existence of solutions and convergence problem of Ishikawa and Mann iterative procedures with mixed errors for a class of accretive type variational inclusions with Lipschitz condition in real reflexive Banach spaces were studied. The results presented in this paper extended and improved the corresponding results obtained by CHANG S S, ZHAO Fu-kun and XU Cheng-lin, DING X P and ZENG L C.