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
DOI: 10.12677/PM.2023.136192, PDF,   
作者: 黎穷远：西南石油大学理学院，四川 成都
关键词: 预解算子；H单调；变分包含；Resolvent Operator； H Monotonicity； Variations Include
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。
Abstract: 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.
文章引用：黎穷远. 预解算子方法求解一类H单调变分包含组问题[J]. 理论数学, 2023, 13(6): 1883-1887. https://doi.org/10.12677/PM.2023.136192

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