广义混合均衡与不动点问题公共解的迭代算法

摘要

在Hilbert空间中，引入一种新的关于广义混合均衡问题的迭代方法，通过该迭代方法求得广义混合均衡问题的解集与非扩张映像的不动点集的公共解。并且在一定条件下，得到强收敛定理。所得结果改进和推广了这一领域内某些最新结果。%An iterative algorithm for solving the generalized mixed equilibrium problems was proposed in the Hilbert space ,and then was used to obtain the common solution to the generalized mixed equilibrium and fixed point problems .In addition ,the strong convergence theorem was derived under certain conditions .Those obtained results have improved and spred the latest work in this field .