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一类次二次哈密尔系统的多重次调和解(英文)
  • ISSN号：1000-5471
  • 期刊名称：西南师范大学学报(自然科学版)
  • 时间：0
  • 页码：23-28
  • 语言：中文
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]重庆工商大学数学与统计学院,重庆400067, [2]西南大学数学与统计学院,重庆400715
  • 相关基金：国家自然科学基金（10771173）资助项目
  • 相关项目：拟线性椭圆系统解的存在性与多重性
作者： 唐春雷|晏胜华|吴行平|
关键词： 一般变分不等式, g-(γ, r)-松弛强制映射, g-μ—Lipschitzian连续, 投影算子, General variational inequalities, g- （ γ, r） -relaxed cocoercive mapping, g-μ-Lipschitzian continuity, Projective operatos
中文摘要：

利用变分不等式和不动点问题的等价关系，给出了一个新的求解一般变分不等式的三步迭代算法；该算法在现有的两步迭代算法基础上，利用校正方法建立了第三步迭代公式；最后在适当条件下证明了该算法的收敛性，所得结论推广了该领域内的一些最新结果．

英文摘要：

It is well known that the variational inequalities are equivalent to the fixed point problems. A new three-steps iterative algorithm is proposed for general variational inequalities based on the equivalence. The new algorithm includes the known two-steps iterative algorithm as special case, and modifies the iterative algorithm with the third-step iteration scheme by using the technique of updating. The convergence of the algorithm is proved under mild conditions. The results in this paper can be viewed as an improvement and extension of the previously known results for general variational inequalities.

同期刊论文项目
拟线性椭圆系统解的存在性与多重性
期刊论文 62 会议论文 1
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期刊信息
  • 《西南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:西南大学
  • 主编：李明
  • 地址：重庆市北碚区天生路2号
  • 邮编：400715
  • 邮箱：xhtang@swu.cn
  • 电话：023-68252540
  • 国际标准刊号：ISSN：1000-5471
  • 国内统一刊号：ISSN：50-1045/N
  • 邮发代号:78-22
  • 获奖情况:
  • 全国高校优秀学报,重庆市十佳科技期刊,重庆市一级期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:17791