| 关于非相容映象对的公共不动点的一个注记 |
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| 引用本文： | 衣立红,刘平,郑晓迪,张树义.关于非相容映象对的公共不动点的一个注记[J].宝鸡文理学院学报(自然科学版),2008,28(4):272-273. |
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| 作者姓名： | 衣立红 刘平 郑晓迪 张树义 |
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| 作者单位： | 渤海大学,数学系,辽宁,锦州,121000;渤海大学,数学系,辽宁,锦州,121000;渤海大学,数学系,辽宁,锦州,121000;渤海大学,数学系,辽宁,锦州,121000 |
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| 基金项目： | 辽宁省教育厅科研资助项目
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| 摘 要： | 目的为了降低不动点存在性对空间完备性和映象对的连续性的要求，扩展不动点定理的使用范围。方法引进了痧型弱交换映象，再利用度量空间中自映象对的非相容性条件。结果建立了一类具有矿压缩条件和参型弱交换的非相容映象对的公共不动点定理。结论在度量空间中，对具有垂型弱交换非相容映象对，在不要求空间完备性和映象的连续性的情况下能够得到了公共不动点存在性定理。
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| 关 键 词： | 度量空间 非相容映象对 Φ-型弱交换映象 公共不动点 |
A note on common fixed points for noncompatible mapping pairs |
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| YI Li-hong,LIU Ping,ZHENG Xiao-di,ZHANG Shu-yi.A note on common fixed points for noncompatible mapping pairs[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2008,28(4):272-273. |
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| Authors: | YI Li-hong LIU Ping ZHENG Xiao-di ZHANG Shu-yi |
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| Institution: | Dept.Math.;Bohai University;Jinzhou 121000;Liaoning;China |
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| Abstract: | Aim To reduce the completeness of spaces and continuity of mappings in common fixed point theorem and improve the field for common fixed point theorem. Methods Ф-type weak commutativity mappings are introduced and non-compatibility of self-mapping pairs in metric spaces are applied. Results It is established that a common fixed point theorem for non-compatible mapping pairs with φ-weak contractive condition and Ф-type weak commutativity. Conclusion In metric spaces, we can obtain the only common fixed point for non-compatible mapping pairs with Ф-type weak commutativity, but not demanding for completeness of spaces and continuity of mappings. And this fixed point is discontinuous for mappings. |
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| Keywords: | metric space noncompatible mapping pairs Ф-type weak commutativity mapping common fixed point |
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