TY - JOUR T1 - Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings AU - Shen , Jinliang AU - Huang , Jianhua JO - Annals of Applied Mathematics VL - 1 SP - 18 EP - 31 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20592.html KW - generalized equilibrium problem, a finite family of asymptotically nonexpansive mapping, hybrid iteration method, inverse-strongly monotone mapping, Hilbert space. AB -

In this paper, weak and strong convergence theorems are established by hybrid iteration method for generalized equilibrium problem and fixed point problems of a finite family of asymptotically nonexpansive mappings in Hilbert spaces. The results presented in this paper partly extend and improve the corresponding results of the previous papers.