A finite family of multivalued asymptotically Ψi-quasi-pseudocontractive type mappings and three-step iterative set sequences with random mixed errors are introduced in this paper.Under the assumption conditions without any bound, strong convergence theorem of three-step iterative set sequences with random mixed errors of common fixed point for a finite family of multivalued asymptotically Ψi-quasi-pseudocontractive type mappings in real normed linear spaces is established by using a new analytical method, which extends and improves the corresponding results in some references.%引入有限族多值渐近Ψi-拟伪压缩型映象和具随机混合型误差的三步迭代集合序列, 在没有任何有界的假设条件下, 使用新的分析技巧, 在实赋范线性空间中建立了有限族多值渐近Ψi-拟伪压缩型映象公共不动点的具随机混合型误差的三步迭代集合序列的强收敛定理, 从而推广和改进了相关文献中的结果.
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