对非凸双边变分不等式的迭代方法

摘要

引进并考虑了一类非凸双边变分不等式.对解决非凸双边变分不等式,使用借助辅助原理技术的一种三步迭代方法,证明了迭代方法在伪单调的条件下是收敛的.该方法与其他方法相比非常简单.%A class of nonconvex bifunction variational inequalities was introduced and consid-ered.A three step iterative method using auxiliary principle techniques , it was proved that the iterative method was convergent under pseudomonotone conditions .This method was very simple to compare with other methods .