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| HYBRID ITERATION METHOD FOR GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS |
| Jinliang Shen,Jianhua Huang |
| (Fuzhou University Zhicheng College, Fuzhou University, Fuzhou 350002, Fujian, PR China;College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China) |
| DOI： |
| Abstract: |
| 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. |
| Key words: generalized equilibrium problem; a finite family of asymptotically nonexpansive mapping; hybrid iteration method; inverse-strongly monotone mapping; Hilbert space |