广义变分包含的近似点算法  

Proximal Point Algorithm for Generalized Variational Inclusions

作　　者：高兴慧[1] 马乐荣[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《甘肃科学学报》2007年第1期15-18,共4页Journal of Gansu Sciences

基　　金：国家自然科学基金资助项目(10271093)

摘　　要：引入并研究了一类新的关于H-单调算子的广义非线性变分包含,在Hilbert空间中利用H-单调算子的预解算子性质,建立了这类变分包含的一个新的寻求近似解的带误差的近似点算法,并证明了求近似解序列收敛于精确解.所得结果改进和推广了文献[1,2]的相关结果.A new class of generalized nonlinear variational inclusions involving H-monotone operator is introduced and studied. By using the properties of the resolvent operator associated with H-monotone operator in Hilbert spaces, a new proximal point algorithm with errors is suggested for finding approximate solutions which converge strongly to the exact solution of generalized variational inclusions. The results presented in the paper can extend and improve many known results of[1,2].

关 键 词：广义非线性变分包含 H-单调算子 带误差的近似点算法 收敛性 

分 类 号：O177.91[理学—数学]