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中文摘要：
在偏序2-距离空间中，研究了一类压缩型映象不动点的存在性和唯一性问题．利用映象对的ω-相容性条件，获得了此类映象的一个新的耦合重合点和耦合公共不动点定理．所得结果是度量空间中某些经典结果在偏序2-距离空间的进一步推广和发展．
英文摘要：
In this paper, we investigate the existence and the uniqueness of fixed points for contractive mappings in partially ordered 2-metric space. By using the ω-compatible condition of this pair of mappings, some new couple coincidence point and common couple fixed point theorems are gotten. Which largely improve and extend some classical results in metric spaces.
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