在Hilbert空间中,利用杂交算法构造迭代序列,对平衡问题与渐近非扩张映射不动点的公共解进行研究,并证明所提出的迭代序列强收敛于平衡问题与渐近非扩张映射不动点的公共解,推广和扩展了现有的一些结果.
An iterative scheme is studied by using the hybrid methods for finding common elements of the solutions of the equilibrium problems and the fixed points of an asymptotically nonexpansive mapping in Hilbert spaces. The proposed scheme converges strongly to a common solution of the solutions of the equilibrium problems and the fixed points of an asymptotically mapping. The results presented in this paper extend and generalize the recent results.