Hilbert空间中一类拟变分不等式问题

A Infinite Family of Generalized Set-Valued Quasi-Variational Inequality Problems in Hilbert Spaces

研究了一类新的无穷簇广义集值拟变分不等式问题,利用Nadler定理,得到并构造了逼近解的迭代算法,证明了这类拟变分不等式的解的存在性及该算法产生的迭代序列的收敛性。

In this paper, we introduce and study a new class of infinite family of generalized setvalued quasi-variational inequality problems in Hilbert spaces. We construct an iterative algorithm and prove an existence of solutions for this kind of quasi-variational inequalities. We also prove the convergence of iterative sequences generated by the algorithm. The main results presented in this paper generalized some known results.