一类广义混合变分不等式组解的强收敛定理

Strong Convergence Theorem for a System of Generalized Mixed Variational Inequality

研究了Banach空间中一类广义混合变分不等式组问题,引进了一种新的迭代算法,研究了由迭代算法生成的序列的收敛性,并得到了这类变分不等式组解的强收敛定理,从而推广和改进了相关文献的一些工作.

This paper,which introduces a new iteration algorithm and researches into the convergence of iterative sequence generated by the algorithm,is devoted to studying a new system of generalized mixed variational inequality in Banach spaces,from which we get the strong convergence theorems of the solution for this system of generalized mixed variational inequality.The results obtained in this paper extend corresponding works of others