一般广义非线性集值混合拟变分不等式的新的迭代算法

A new iterative algorithm for generalized nonlinear set-valued mixed quasi-variational inequalities

引入和研究了广义非线性集值混合拟变分不等式,并发展了寻求近似解的一类新的迭代算法,且证明了这类广义非线性集值混合拟变分不等式解的存在性以及由此算法生成的近似解序列的收敛性.

We introduce and study a class of quasi-variational inequalities called generalized nonlinear set-valued.mixed quasivariational inequalities and construct a new iterative algorithm for solving this problem. Moreover, we prove the existence of solutions of this problem and the convergence of the iterative sequences generated by the algorithm.