解非线性混合似变分不等式的预测-校正迭代算法(英文)  

Predictor-Corrector Iterative Algorithms for Solving Nonlinear Mixed Variational-like Inequalities

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2003年第1期1-5,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金 (1 9871 0 59);四川省教育厅重点科研基金资助项目~~

摘　　要：对映象引入了部分松驰η 强单调性概念.应用辅助变分不等式技巧,建议和分析了求解非线性混合似变分不等式的预测 校正迭代算法.算法的收敛性证明仅需要映象的部分松驰η 强单调性,此性质比η 余强制性更弱.这些算法的收敛性结果是新的且推广了文献中某些已知结果.The concept of partially relaxed ηstrong monotonicity of setvalued mappings is introduced. By applying the auxiliary variational inequality technique, some new predictorcorrector iterative algorithms for solving nonlinear mixed variationallike inequalities are suggested and analyzed. The convergence of the algorithms only need the partially relaxed ηstrong monotonicity of mappings which is weaker than the ηcocoercivity. These algorithms and convergence results are new, and generalize some known results in literatures.

关 键 词：非线性混合似变分不等式 辅助变分原理 部分松驰η-强单调性 预测-校正迭代算法 收敛性 

分 类 号：O178[理学—数学] O242.23[理学—基础数学]