摘要
利用非凸变分不等式和不动点问题的等价关系,建立了一个新的求解非凸变分不等式的三步投影算法;该算法在现有的两步迭代算法基础上,利用校正方法建立了第三步迭代公式;最后在适当条件下证明了该算法的收敛性.
A new three-step projective algorithm is proposed for non-convex variational inequalities based on the equivalence between the non-convex variational inequalities and the fixed point problems,which included the known two-step iterative algorithms as a special case,and modified iterative algorithms with the third-step iteration scheme using the technique of updating. The convergence criteria of the algorithms are proved under some suitable conditions.
引文
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