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一类基于单调映射的松弛投影算法

A Relaxed Proximal Point Algorithm Based on Monotonicity Mapping
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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. 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.
作者 李观荣
出处 《湛江师范学院学报》 2011年第6期51-54,共4页 Journal of Zhanjiang Normal College
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-maximal(m)-relaxed monotonicity proximal point algorithm variational inclusions variational inequalities
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参考文献4

  • 1Hassouni A , Moudafi A. A perturbed algorithms for variational inclusions[J]. J Math Anal Appl, 1994, 185:706--721.
  • 2Noor M A. Generalized set--valued variational inclusions and resolvent equations[J]. J Math Anal Appl, 1998, 228:206-- 220.
  • 3Verma R U. A new relaxed proximal point procedure and applications to nonlinear variational inclusions[J]. Comput Math Appl, 2009 , 58:1631--1635.
  • 4Noor M A, Noor K I, Yaqoob H. On general mixed variational inequalities[J]. Acta Appl Math, 2010 ,110:227 - 246.

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