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