混合均衡问题和不动点问题的公共元的迭代算法

摘要

In Hilbert space,an extragradient algorithm is proposed to approximate common elements for the solution set of mixed equilibrium problems and the fixed point set of a hemicontractive mapping,and its convergence is proved.A strong convergence theorem of the common elements is proved by using new analysis techniques.%在Hilbert空间中,利用超梯度算法,用以逼近混合均衡问题的解集与半压缩映像不动点集的公共元,并且证明了该算法的收敛性。使用新的分析技巧证明了一个强收敛定理。