在q一致光滑Banach空间中,本文引进一类包含三个算子的广义非线性变分不等式组,并考虑关于该类变分不等式组的三步迭代算法,得到该算法的强收敛定理,推广了某些已知结论.
In this paper, we introduce a new system of generalized nonlinear variational inequalities involving three operators in q-uniformly smooth Banach spaces. A three-step iterative algorithm is considered for the system of generalized nonlinear variational inequalities. We prove strong convergence theorems of the three-step iterative algorithm, Our results can be viewed as extension of the corresponding results in some inferences.