关于A-增生算子的广义变分包含的Mann-型迭代算法(英文)  

Mann-type Iterative Algorithm for Generalized Variational Inclusions Involving A-accretive Operator

作　　者：余显志[1] 严尚安[1] 肖光强[1] 赵胜利[1] 

机构地区：[1]后勤工程学院基础部

出　　处：《后勤工程学院学报》2009年第4期91-96,共6页Journal of Logistical Engineering University

摘　　要：通过研究A-增生算子的性质，延伸了关于H-增生算子的预解算子概念到新的A-增生算子。通过进一步运用A-增生算子的预解算子技巧，考虑了一类新的关于A-增生算子的广义变分包含，并提出了一种Mann-型迭代算法来逼近此类广义变分包含的解。最后证明了新的一类广义变分包含解的存在性和唯一性，并讨论了由此Mann-型迭代算法产生的迭代序列的收敛特征。By studying the properties of A-accretive operator, the author extends the concept of resolvent operator associated with the H-accretive operator to the new A-accretive operator. Furthermore the author considers a new class of generalized variational inclusions involving A-accretive operator and proposes a Mann-type iterative algorithm for approximating the solution of this class of generalized variational inclusions by using the resolvent operator technique for A-accretive operator. Finally, the existence and uniqueness of the new class of generalized variational inclusions are proved and the convergence criteria of the iterative sequences generated by the Mann-type iterative algorithm is discussed.

关 键 词：A-增生算子 广义变分包含 预解算子技巧 Mann-型迭代算法 

分 类 号：O177.91[理学—数学]