【摘要】 对H ilbert空间中一类广义混合似变分不等式组进行了研究;利用次微分算子的预解式技术,建立了广义混合似变分不等式组与不动点问题之间的等价关系;给出了一个求解这种广义混合似变分不等式组的显式两步迭代算法;并证明了该算法在适当的条件下收敛.更多还原

【Abstract】 We study a new system of generalized mixed quasi-variational inequalities in Hilbert space.Using the resolvent operator technique of subdifferential operator,we prove that generalized mixed quasi-variational inequalities are equivalent to the fixed point problems;and we suggest and analyze a new explicit two-step iterative method for this system of generalized mixed quasi-variational inequalities.The new iterative method converge under certain mild conditions.更多还原