Hilbert空间中一般形式的松弛余强制变分不等式方程组的迭代逼近问题

Iterative approximation of solutions of generalized system for relaxed cocoercive variational inequalities in hilbert spaces

利用投影方法研究了一类松弛余强制变分不等式方程组解的问题,给出了其解的迭代算法,并证明了由迭代算法生成的迭代序列的收敛性。所得结果改进和推广了最近文献的一些相应结果。

The paper introduces and studies a class of systems of relaxed cocoercive variational ine- qualities. By using projection method , we construct some new iterative algorithms for solving this class of systems of variational inequalities , and we prove the strong convergence of iterative sequences gener- alized by the algorithms. The results presented in the article improve and unify some recent results in the field.