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中文摘要：
利用自映象对非相容性的条件,在G-度量空间中证明了Af型R-弱交换非相容映象对的公共不动点的定理,并且去掉了G-度量空间的完备性和映象对的连续性条件,得到的结果进一步发展和完善了公共不动点理论方面的有关结果.
英文摘要：
Using the conditions of noncompatible self-mappings of Type（Af） and R-weakly commuting mappings, the paper proved a new common fixed point theorem in G-metric space, and deleted the completeness of G-metric space and the continuity of mappings. The results are the further development and improvement of the common fixed point theory.
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