修正辅助技术求解广义混合隐拟变分不等式

摘要

研究了Hilbert空间上一类广义混合隐拟变分不等式.利用KKM原理的思想,证明了解的存在,惟一性定理,并且建立了相应的近似解迭代算法,对算法作了收敛性分析.研究的问题更具一般性,同时推广了有关于这类问题的迭代算法.%We proposed a modified auxiliary inequality for solving generalized mixed implicit quasi - variational inequalities in a Hilbert space. Using the auxiliary inequality, we prove the solution existence for generalized mixed implicit quasi - variational inequalities, and establish the iterative algorithm for the approximate solutions. Also we discttss the convergence of the iterative solution sequence generated by the algorithm.