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| 摘要: |
| 本文研究了矩形b-度量空间中压缩映象不动点的存在性和唯一性问题.利用映象T具有混合g-单调性的条件，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.这些结果是度量空间中某些经典结果在矩形b-度量空间中的进一步推广和发展. |
| 关键词: 矩形b-度量空间 压缩映象 重合耦合点 耦合公共不动点 混合g-单调性 |
| DOI： |
| 分类号:O177.91 |
| 基金项目:国家自然科学基金资助（11071169）；浙江省自然科学基金资助（Y6110287）. |
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| A COMMON COUPLE FIXED POINT THEOREM OF CONTRACTIVE MAPPINGS IN RECTANGULAR B-METRIC SPACE |
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LIU Li-ya,GU Feng
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| Abstract: |
| In this paper, we investigate the existence and the uniqueness of fixed points for contractive mappings in rectangular b-metric space. By using the mixed g-monotone property of this paper of mapping T, some new couple coincidence point and common couple fixed point theorems are gotten, which largely improve and extend some classical results in metric spaces. |
| Key words: rectangular b-metric space contractive mappings couple coincidence point couple common fixed point mixed g-monotone property |
