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中文摘要：
在完备度量空间中,利用自映象对的相容和次相容性条件,讨论了一类平方型压缩映象的公共不动点的存在性和唯一性,证明了一个新的公共不动点定理.本文结果改进和发展了Kenan、Mustafa和Brican的相关结果.
英文摘要：
In the complete metric space, the existence and uniqueness of the common fixed points for a class of twice power type contraction mapping is discussed by use of pair of selfmapping of the compatibility and weak compatibility condition. A new common fixed point theorem is obtained. These results improve and develop the relevant results of Kennan, Mustafa and Brican.
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