Hilbert空间中逼近广义均衡问题和有限族非扩张映射不动点集的公共解新的迭代方法

An iterative method for finding common solutions of a generalized equilibrium problem and fixed point problems in a Hilbert space

在Hilbert空间中引入一种新的迭代方法,以寻找广义均衡问题和有限族非扩张映射的不动点集的公共元素,并证明了给出的迭代强收敛于变分不等式的唯一解,同时也强收敛于最小值问题的最优解.

An iterative method is introduced for finding common elements of the solution set of a generalized equilibrium problem and the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space.The strong convergence of the proposed iterative algorithm to the unique solution of the variational inequality which is the optimality condition for the minimization problem is proved.