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中文摘要：
在完备度量空间中引入了一个新的四次方型的压缩条件，并在此条件下证明了两对弱交换自映象的一个新的公共不动点定理.得到的结果是公共不动点理论相关结果的进一步发展和完善.
英文摘要：
The paper introduced a new contraction condition of four power type in complete metric space,and proved a new common fixed point theorem for two pairs of weakly commuting self-mappings under this condition.The results have further developed and improved the common fixed point theories involved.
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