广义均衡问题和有限个相对非扩张映射的收敛定理

摘要

在Banach空间中研究求解广义均衡问题的解集和相对非扩张映射的不动点集的公共元的迭代算法,获得了所生成序列的强收敛和弱收敛定理,所得结果扩展了相关研究成果.%In this paper, we introduce an iterative algorithm for finding the common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of relatively nonexpan-sive mappings in Banach spaces. We obtain a strong convergence theorem and a weak convergence theorem. The result presented in this paper extends the corresponding results.