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中文摘要：
本文给出Hilbert空间与Banach空间中关于压缩映射、扩张映射的若干迭代格式，证明这些映射的不动点集与均衡问题解集的强（弱）收敛定理，本文改进和推广了相关文献中的结果．
英文摘要：
In this paper,we introduce the iterative algorithms of contractive and expansive mappings in Hilbert space and Banach space. Then we prove weak and strong convergence theorems for find- ing a common element of the set of fixed point problem and equilibrium problem. These conclusions generalize and promote the existed conclusions.
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