一类新的广义非凸集值变分不等式组

A New System of General Nonconvex Set-Valued Variational Inequalities

本文的主要目的是引入一类广义非凸集值变分不等式.首先,我们把这类广义非凸集值变分不等式等价的转化为不动,点问题,通过构造一种新的扰动投影算法,在一定条件下,我们证明了所给迭代算法是收敛的.

In this article,our main job is to introduce a new general nonconvex setvalued variational inequalities.We first transform the general nonconvex set-valued variational inequalities into the fixed point problems equivalently.Based on the property of equivalent.By constructing a new perturbed projection algorithm,we prove that the iterative algorithm given is convergent under certain conditions.