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2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理

刘丽亚 谷峰

刘丽亚, 谷峰. 2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理[J]. 应用数学和力学, 2017, 38(8): 956-966. doi: 10.21656/1000-0887.370261
引用本文: 刘丽亚, 谷峰. 2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理[J]. 应用数学和力学, 2017, 38(8): 956-966. doi: 10.21656/1000-0887.370261
LIU Li-ya, GU Feng. A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces[J]. Applied Mathematics and Mechanics, 2017, 38(8): 956-966. doi: 10.21656/1000-0887.370261
Citation: LIU Li-ya, GU Feng. A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces[J]. Applied Mathematics and Mechanics, 2017, 38(8): 956-966. doi: 10.21656/1000-0887.370261

2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理

doi: 10.21656/1000-0887.370261
基金项目: 国家自然科学基金(11071169);浙江省自然科学基金(Y6110287)
详细信息
    作者简介:

    刘丽亚(1991—), 女, 硕士(E-mail: 846883245@qq.com);谷峰(1960—), 男, 教授(通讯作者. E-mail: gufeng99@sohu.com).

  • 中图分类号: O177.91

A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces

Funds: The National Natural Science Foundation of China(11071169)
  • 摘要: 在2-距离空间的框架下, 利用映象对的ω-相容性条件, 建立了一类新的平方型压缩条件, 讨论了此类映象耦合公共不动点的存在性和唯一性.证明了一个新的耦合公共不动点定理, 也提供了一个有效的例子来支持该文的新结果.该文的结果改善了之前文献中的相关结果.
  • [1] GU Feng, YIN Yun. A new common coupled fixed point theorem in generalized metric space and applications to integral equations[J].Fixed Point Theory and Applications,2013,2013(1): 266.
    [2] Aghajani A, Arab R. Fixed points of (ψ,φ,θ)-contractive mappings in partially orderedb -metric spaces and application to quadratic integral equations[J].Fixed Point Theory and Applications,2013,2013(1): 245.
    [3] ZHU Chuan-xi, XU Wen-qing, CHEN Chun-fang, et al. Common fixed point theorems for generalized expansive mappings in partial b-metric spaces and an application[J].Journal of Inequalities and Applications,2014,2014(1): 475.
    [4] Mustafa Z, Parvaneh V, Roshan J R, et al.b-2-metric spaces and some fixed point theorems[J].Fixed Point Theory and Applications,2014,2014(1): 144.
    [5] Fathollahi S, Hussain N, Khan L A. Fixed point results for modified weak and rational α-ψ-contractions in ordered 2-metric spaces[J].Fixed Point Theory and Applications,2014,2014(1): 6.
    [6] Ghler S. 2-metrische Rume und ihre topogische Struktur[J].Mathematische Nachrichten,1963,26(1/4): 115-148.
    [7] Iséki K. Fixed point theorems in 2-metric spaces[J].Math Seminar Notes, Kobe, Univ,1975,3(1): 133-136.
    [8] Deshpande B, Chouhan S. Common fixed point theorems for hybrid pairs of mappings with some weaker conditions in 2-metric spaces[J].Fasc Math,2011(46): 37-55.
    [9] Aliouche A, Simpson C. Fixed points and lines in 2-metric spaces[J].Advances in Mathematics,2012,229(1): 668-690.
    [10] Lahiri B K, Das P, Dey L K. Cantor’s theorem in 2-metric spaces and its applications to fixed point problems[J].Taiwan J Math,2011,15(1): 337-352.
    [11] LIU Ze-qing, ZHANG Feng-rong. Characterizations of common fixed points in 2-metric space[J]. Rostock Math Kolloq,2001,55(1): 49-64.
    [12] Dung N V, Hieu N T, Ly N T T, et al. Remarks on the fixed point problem of 2-metric spaces[J]. Fixed Point Theory and Applications,2013,2013(1): 167.
    [13] Dung N V, Le Hang V T. Fixed point theorems for weak C-contractions in partially ordered 2-metric spaces[J].Fixed Point Theory and Applications,2013,2013(1): 161.
    [14] Dubey R P. Some fixed point theorems on expansion mappings in 2-metric spaces[J].Pure Appl Math Sci,1990,32(1/2): 33-37.
    [15] 张石生. 不动点理论及其应用[M]. 重庆: 重庆出版社, 1984. (ZHANG Shi-sheng.Fixed Point Theory and Application[M]. Chongqing: Chongqing Press,1984.(in Chinese))
    [16] Bhaskar T G, Lakshmikantham V. Fixed point theorems in partially ordered metric spaces and applications[J].Nonlinear Analysis: Theory, Methods & Applications,2006,65(7): 1379-1393.
    [17] Lakshmikantham V, Ciric L B. Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces[J].Nonlinear Analysis: Theory, Methods & Applications,2009,70(12): 4341-4349.
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出版历程
  • 收稿日期:  2016-08-30
  • 修回日期:  2016-10-16
  • 刊出日期:  2017-08-15

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