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中文摘要：
在Hilbert空间的框架下，用一种变形的迭代格式xn＋1=αnf（xn）＋βnxn＋γnTxn，研究一闭凸集合C上的非扩张映像的不动点问题，当满足适当的条件，且n→∞时，{xn}强收敛至T的一个不动点，并且此点也是某变分不等式的解．去掉了一些作者提出的相应条件，其结果改进了相应文献的一些近代结果．
英文摘要：
It is introduced that a algorithm of the iterative process for nonexpansive mappings on a closed convex subset of a Hilbert space H, where x0 ∈C is arbitrary and xn＋1=αnf（xn）＋βnxn＋γnTxn. for n≥1. It is shown that in certain appropriate conditions, when n→∞, then {xn } converge strongly to a fixed point of T, which is the solution to a variational inequality. The results have improved some recent results.
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