摘要
在Hilbert空间中给出了一类新的包含A-单调映像的广义集值变分包含组.通过研究A-单调映像的性质,讨论了A-单调映像的预解算子及其Lipschitz连续性.提出了解这类变分包含组的一个新的迭代算法并在适当的假设下建立其强收敛特征.
A new system of generalized set-valued variational inclusions involving A-monotone mappings is given in Hilbert spaces. By studying the properties of A-monotone mapping, the resolvent operator for A-monotone map- pings and its Lipschitz continuity are discussed. A new iterative algorithm for solving this system of generalized setvalued variational inclusions is proposed and its strong convergence criteria are established under appropriate assumptlons.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第6期124-128,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(10771173)
河南省教育厅自然科学基础研究指导项目(2008B110012).
关键词
广义集值变分包含组
A-单调映像
预解算子技巧
迭代算法
system of generalized set-valued variational inclusions A-monotone mapping resolvent operator technique iterative algorithm
