混合均衡问题与不动点问题的一种迭代法的强收敛性定理

摘要

A new iterative method for finding a common element of the set of solutions of mixed equilibrium problems and the set of fixed points of a finite family of non-expansive mappings is introduced in this paper.Furthermore,the strong convergence for the iterative algorithm under some mild conditions is proved.Results obtained in this paper improve the relevant literary results in this area.%引入了一种新的求混合均衡问题解集与非扩张映象有限族不动点集的公共元素的迭代方法,并证明了其在适当条件下的强收敛性。所得结果推广和改进了相关文献结果。