中文摘要：

在不要求空间完备性和映象连续性的条件下,对2-距离空间中（Ag）型φ-弱交换非相容映象对在一类压缩条件下的公共不动点的存在性和唯一性进行研究,给出了几个新的公共不动点定理,从而在很大程度上改进和推广了已有文献中的相关结果,

英文摘要：

In this paper, several common fixed point theorems are obtained, without completeness of space and continuity of mappings, by researching the common fixed point for（Ag） type φ- weakly commutative and incompatibly compressed mappings in 2-metric space. The results improve and generalize some important theorems in pre-existing documents.