应用数学和力学2023，Vol.44Issue(11)：1378-1388,11.DOI:10.21656/1000-0887.440199
随机广义拟变分不等式的迭代解法及应用
Iterative Methods for Random Generalized Quasi Variational Inequalities With Applications
摘要
Abstract
To obtain the iterative methods for solving a class of random generalized quasi variational inequalities(RGQVIs)in the Hilbert spaces,the measurability of the projection operators on varying-constraint sets depic-ted by the mapping from points to random-value sets with closed(convex)values,was proved.Moreover,the random iterative algorithm was proposed for solving RGQVIs,and the convergence of the random sequences generated with the random iterative algorithm was obtained under some suitable conditions of monotony and Lipschitz continuity.Finally,2 applications were given with depicting results of the random generalized Nash games and random Walrasian equilibrium problems,respectively.关键词
随机拟变分不等式/随机迭代算法/收敛性/随机Nash均衡/随机Walrasian均衡Key words
random quasi variational inequality/random iterative algorithm/convergence/random Nash equi-librium/random Walrasian equilibrium分类
数理科学引用本文复制引用
王雁南,曾嘉钦,黄南京..随机广义拟变分不等式的迭代解法及应用[J].应用数学和力学,2023,44(11):1378-1388,11.基金项目
国家自然科学基金项目(12171339) （12171339）
国家重点研发项目(2020YFC0832404) （2020YFC0832404）
