数学杂志2005，Vol.25Issue(3)：269-274,6.
广义非线性变分包含的带误差的近似点算法
PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED NONLINEAR VARIATIONAL INCLUSIONS
摘要
Abstract
In this paper, we introduce and study a new class of generalized nonlinear variational inclusions. By using the properties of the resolvent operator associated with maximal η-monotone mappings in Hilbert space, we suggest a new proximal point algorithm with errors for finding approximate solutions which strongly converge to the exact solution of generalized nonlinear variational inclusions. The results presented in this paper extend and improve many known results in the literature.关键词
广义非线性变分包含/极大η-单调映象/预解算子/带误差的近似点算法/收敛性Key words
generalized nonlinear variational inclusion/maximal η-monotone mapping/resolvent operator/proximal point algorithm with errors/convergence分类
数理科学引用本文复制引用
金茂明..广义非线性变分包含的带误差的近似点算法[J].数学杂志,2005,25(3):269-274,6.基金项目
Supported by the Educstional Science Foundation of Chongqing, Chongqing of China(021301). （021301）
