一类新的含A-单调映像的完全广义集值强非线性混合隐拟变分包含(英文)  

A New Class of Completely Generalized Set-Valued Strongly Nonlinear Mixed Implicit Quasi-Variational Inclusions Involving A-Monotone Mappings

作　　者：余显志[1] 肖光强[1] 严尚安[1] 邓磊[2] 

机构地区：[1]中国人民解放军后勤工程学院基础部,重庆401311 [2]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2011年第2期126-130,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771173)

摘　　要：在Hilbert空间中引入和研究了一类新的包含A-单调映像的完全广义集值强非线性混合隐拟变分包含.通过应用A-单调映像的预解算子技巧,构造了一个新的迭代算法来逼近此类变分包含的解.讨论了由此算法产生的迭代序列的收敛分析.A new class of completely generalized set-valued strongly nonlinear mixed implicit quasi-variational inclusions involving A-monotone mapping is introduced and investigated in Hilbert spaces.A new iterative algorithm for approximating the solutions of this class of completely generalized set-valued strong nonlinear mixed implict quasi-variational inclusions is constructed by applying resolvent operator technique for A-monotone mapping.The convergence analysis of the iterative sequences generated by the algorithm is discussed.

关 键 词：完全广义集值强非线性混合隐拟变分包含 A-单调 强单调 松弛单调 广义伪压缩 预解算子技巧 

分 类 号：O177.91[理学—数学]