Mann迭代算法求解非线性混合隐变分不等式

Mann iterative algorithm for solving nonlinear mixed implicit variational inequalities

用一种新的Mann迭代算法求解一类非线性混合隐变分不等式.在这个基础之上,还进一步对Mann迭代算法所产生的迭代序列进行了收敛性分析.然而,假设的映射A既不是强单调映射,也不是满射.在这样的条件下,有利于投影和收缩法在许多领域里的应用.

This paper developed a new Mann iterative algorithm for solving a class of nonlin- ear mixed implicit variational inequalities and gave the convergence analysis of the iterative sequences generated by the algorithms. However, the mapping assumed was not strongly monotone, nor was surjective. These conditions have advantages in the applications of the projection and contraction method to many problems.