引入并研究一类新的一族渐近${\phi }_i$-型拟伪压缩映象和新的多步平行迭代算法, 在没有任何有界的条件下, 在实赋范线性空间中建立了$h$-有限族一致Lipschitz映象公共不动点的多步平行迭代算法的强收敛定理,从而改进和推广了近期的一些结果.

The purpose of this paper is to introduce and study a new class of asymp-totically 'i-type quasi-pseudo-contractive mappings and multi-step parallel iterative
algorithms. Strong cnvergence theorem of multi-step parallel iterative algorithm of common fixed point for h-finite families of uniformly Lipschitz mappings in real normed linear spaces is established without any bounded condition, which improves and extends some existing results.