摘要
在Hilbert空间中,利用极大η—单调映射的预解算子技巧,介绍并研究了一类新的广义非线性集值变分包含组解的存在性问题,构造了相应的迭代算法,证明了由此算法生成的迭代序列的收敛性.得到的结果统一,改进和推广了最近文献的相应结果.
In this paper,a new system of generalized nonlinear set-valued variational inclusions is introduced and studied by using the resolvent technique of the maximal η-monotone mapping.The existence of solutions and the convergences of sequences produced by the new iterative algorithms are proved in Hilbert space.A number of results are unified,improved and generalized.
出处
《江西理工大学学报》
CAS
2008年第2期32-35,共4页
Journal of Jiangxi University of Science and Technology
关键词
广义非线性集值变分包含组
极大η—单调映射
预解算子
迭代算法
systems of generalized nonlinear set-valued variational inclusions
maximal η-monotone mapping
the resolvent operator
iterative algorithm
