在Hilbert空间中引进并研究一种新的复合粘性迭代算法,借以寻求有限个平衡问题的公共解集与非扩张映象不动点集的一个公共元素. 所得结果改进并推广了最近一些人的最新结果.

In this paper,  a new iterative algorithm based on the composite viscosity approximation method is introduced to find a common element of the set of common solutions for a finite family of equilibrium problem and the set of fixed point of a nonexpansive mapping in Hilbert space. The results   extend and improve the corresponding existing results.