关键词: 渐近非扩张映射, 平衡问题, 不动点, 杂交算法

Abstract: 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.

Key words: asymptotically nonexpansive mappings, equilibrium problem, fixed point, hybrid method.