预解算子方法求解一类H单调变分包含组问题  

Solving a Class of H Monotonic Variational Inclusion System Problems Using the Resolvent Operator Method

作　　者：黎穷远 

机构地区：[1]西南石油大学理学院,四川 成都

出　　处：《理论数学》2023年第6期1883-1887,共5页Pure Mathematics

摘　　要：本文研究了实希尔伯特空间上一类H单调变分包含组问题,并利用预解算子构造了求解该变分包含组的迭代算法,在适当的假设条件下,证明了算法的收敛性。In this paper, we study a class of H monotone variational inclusions in real Hilbert space, and con-struct an iterative algorithm for solving the system of variational inclusions by using resolvent operators. Under appropriate assumptions, the convergence of the algorithm is proved.

关 键 词：预解算子 H单调 变分包含 

分 类 号：O17[理学—数学]