关于非扩张映射有限族、变分包含及均衡问题的迭代方法

An Iterative Method for A Family of Nonexpansive Mappings,Variational Inclusion Problem and Equilibrium Problem

在Hilbert空间中讨论广义均衡问题的解、变分包含的解与非扩张映射有限族不动点集的公共元的收敛性问题,提出了一种新的迭代算法,并在一定的参数条件下证明了该迭代算法的强收敛性定理.所得结果推广了相关文献的结果.

The convergence of an element is studied,which is a common element of the set of solutions to a generalized equilibrium problem,the set of solutions to a variational inclusion and the set of common fixed points of a countable family nonexpansive mappings in a real Hilbert space,and a new iteration method is proposed.At the same time,under some proper conditions,the strong convergence theorem of the iteration method is proved and many recent important results are extended.