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中文摘要：
在2-距离空间的框架下，利用映象对的甜一相容性条件，建立了一类新的平方型压缩条件，讨论了此类映象耦合公共不动点的存在性和唯一性．证明了一个新的耦合公共不动点定理．也提供了一个有效的例子来支持该文的新结果．该文的结果改善了之前文献中的相关结果．
英文摘要：
In the framework of 2-metric spaces, a new class of square contractive conditions were established and the existence and uniqueness of the coupled common fixed point in given conditions were discussed, by means of the w-compatible condition for the pair of mappings. Then a new coupled common fixed point theorem was proved. Several illustrative examples were also given in support of the new theorem. The work improves the relative results in the recent literatures.
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