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一类基于单调映射的松弛投影算法
引用本文:李观荣.一类基于单调映射的松弛投影算法[J].湛江师范学院学报,2011,32(6):51-54.
作者姓名:李观荣
作者单位:湛江师范学院数学与计算科学学院,广东湛江,524048
摘    要:构造了一类基于A-极大(m)-松弛单调映射的松弛投影算法,并给出了基于变分包含问题的收敛分析.文章的结论推广了相关文献的结论.

关 键 词:A-极大(m)-松弛单调映射  投影算法  变分包含  变分不等式

A Relaxed Proximal Point Algorithm Based on Monotonicity Mapping
LI Guanrong.A Relaxed Proximal Point Algorithm Based on Monotonicity Mapping[J].Journal of Zhanjiang Normal College,2011,32(6):51-54.
Authors:LI Guanrong
Institution:LI Guanrong(School of Mathematics and Computational Science,Zhanjiang Normal College, Zhanjiang 524048,Guangdong,China)
Abstract:A relaxed proximal point algorithm based on the notion of A-maximal(m)-relaxed Monotonicity is developed,and then the convergence analysis in the context of solving a general class of variational inclusions is examined.The results in this context improve some known results in the literature.
Keywords:A-maximal(m)-relaxed monotonicity  proximal point algorithm  variational inclusions  variational inequalities
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