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满足公共(E.A)性质的三对自映象的一个新的公共不动点定理 被引量：1

A New Common Fixed Point Theorem for Three Pairs of Self-maps Satisfying Common(E.A)Property
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摘要 在G-度量空间中,利用自映象对的公共(E.A)性质和弱相容性条件,在不要求空间的完备性和映象的连续性的条件下,证明了3对自映象的一个新的公共不动点定理,并且提供了一个支持该新结果的实际例子.文章结果不同于已有文献的相关结果. By using the concept of common （E. A） property and weakly compatibility condition of self-maps pairs in generalized metric space, without the conditions for the completeness of space and the continuity of mappings, this paper proves a new common fixed point theorem for three pairs of self-maps. An example is provided to support the new result. The result obtained in this paper differs from the recent relative results in the existing literatures.
作者 郑慧慧 沈云娟 谷峰
机构地区 杭州师范大学理学院
出处 《杭州师范大学学报（自然科学版）》 CAS 2015年第1期77-81,共5页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11071169) 浙江省自然科学基金项目(Y6110287)
关键词 广义度量空间 弱相容映象 公共(E.A)性质 公共不动点 generalized metric space weakly compatible mappings common （E. A） property common fixed point
分类号 O177.91 [理学—基础数学]
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参考文献17

  • 1Mustafa Z, Sime B. A new approach to a generalized metric spaces[J]. Nonlinear Convex Anal,2006,7(2):289 297.
  • 2Mustafa Z, Obiedat H, Awawdeh F, et al. Some fixed point theory for mapping on complete C-metric spaces[J]. Fixed Point Theory and Application, 2008, 2008:1-12.
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  • 9周书行,谷峰.G-度量空间中两对非相容映象的几个新的公共不动点定理[J].纯粹数学与应用数学,2012,28(3):418-426. 被引量：12
  • 10叶洪清,谷峰.G-度量空间中Altman积分型映象的几个新的公共不动点定理[J].纯粹数学与应用数学,2012,28(6):845-852. 被引量：5

二级参考文献35

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杭州师范大学学报（自然科学版）
2015年 第1期

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