PDF(379 KB)
PDF(379 KB)
PDF(379 KB)
锥b-度量空间中的三元重合点与三元不动点定理
Tripled Coincidence Point and Tripled Fixed Point Theorems in cone b-metric Spaces
本文在锥b-度量空间中引进了映射对F：X×X×X→X与g：X→X的三元重合点与弱相容性的新概念.在锥不需要正规性的条件下，研究了压缩映射对的三元重合点与具有弱相容性映射对的三元公共不动点问题，所得结果推广了已有文献中的二元重合点与二元公共不动点定理.最后给出主要结果的一个应用.
In this paper, the new concept of tripled coincidence point and weakly compatible for a pair of mappings F:X×X×X→X, g:X→X in cone bmetric spaces are introduced. Under not necessary normal conditions of cone, some tripled coincidence for contractive mappings and tripled common fixed point problems of weakly compatible mappings are studied. The obtained results generalize some coupled common fixed point theorems in corresponding literatures. Finally, an example is given to illustrate our main results.
锥b-度量空间 / 三元重合点 / 三元不动点 / 半序集 / 弱相容映射 {{custom_keyword}} /
cone b-metric space / tripled coincidence point / tripled fixed point / partially ordered set / weakly compatible mapping {{custom_keyword}} /
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国家自然科学基金（12001249，11771198，11361042）；江西省教育厅科学技术研究项目（GJJ190280）
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