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锥b-度量空间中的三元重合点与三元不动点定理

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锥b-度量空间中的三元重合点与三元不动点定理 罗婷1, 朱传喜21. 江西财经大学信息管理学院 南昌 330032;
2. 南昌大学数学系 南昌 330031 Tripled Coincidence Point and Tripled Fixed Point Theorems in cone b-metric Spaces Ting LUO1, Chuan Xi ZHU21. School of Information Management, Jiangxi University of Finance and Economics, Nanchang 330032, P. R. China;
2. Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China
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摘要本文在锥b-度量空间中引进了映射对FX×X×XXgXX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.
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收稿日期: 2020-09-10
MR (2010):O177.91
O211.3
基金资助: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)
作者简介: 罗婷,E-mail:xiaoxiaoluo 66@163.com;朱传喜,E-mail:chuanxizhu@126.com
引用本文:
罗婷, 朱传喜. 锥b-度量空间中的三元重合点与三元不动点定理[J]. 数学学报, 2021, 64(6): 1043-1054. Ting LUO, Chuan Xi ZHU. Tripled Coincidence Point and Tripled Fixed Point Theorems in cone b-metric Spaces. Acta Mathematica Sinica, Chinese Series, 2021, 64(6): 1043-1054.
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http://www.actamath.com/Jwk_sxxb_cn/CN/ http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I6/1043


[1] Abbs M., Jungck G., Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 2008, 341(1):416-420.
[2] Bakhtin I. A., The contraction mapping principle in quasimetric spaces, In:Functional Analysis, Gos. Ped. Inst., UI'yanovsk, 1989, 26-37.
[3] Boriceanu M., Bota M., Petrusel A., Mutivalued fractals in b-metric spaces, Cent. Eur. J. Math., 2010, 8(2):367-377.
[4] Bota M., Molnar A., Varga C., On Ekeland's variational principle in b-metric spaces, Fixed Point Theory, 2011, 12(2):21-28.
[5] Czerwik S., Nonlinear set-valued contraction mappings in b-metric spaces, Atti Semin. Mat. Fis. Univ. Modena, 1998, 46(2):263-276.
[6] Fadail Z. M., Bin Ahmad A. G., Coupled coincidence point and common coupled fixed point results in cone b-metric spaces, Fixed Point Theory Appl., 2013, 2013:177, 14 pp.
[7] Huang H. P., Xu S. Y., Fixed point theorems of contractive mappings in cone b-metric spaces and applications, Fixed Point Theory Appl., 2013, 2013, 112, 10 pp.
[8] Huang L. G., Zhang X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 2007, 332(2):1468-1476.
[9] Hussain N., Shah M. H., KKM mappings in cone b-metric spaces, Comput. Math. Appl., 2011, 62(4):1677-1684.
[10] Jungck G., Radojevi? S., Rakocevic V., et al., Common fixed points for weakly compatible pairs on cone metric spaces, Fixed Point Theory Appl., 2009, 2009, Art. ID 643840, 13 pp.
[11] Khamsi M. A., Hussain N., KKM mappings in metric type spaces, Nonlinear Anal., 2010, 73(9):3123-3129.
[12] Shah M. H., Simic S., Hussain N., et al., Common fixed points for occasionally weakly compatible pairs on cone metric type spaces, J. Cmput. Anal. Appl., 2012, 14(2):290-297.
[13] Shi L., Xu S. Y., Common fixed point theorems for two weakly compatible self-mappings in cone b-metric spaces, Fixed Point Theory Appl., 2013, 120(1):11 pp.
[14] Song G. X., Sun X. Y., Zhao Y., et al., New common fixed point theorems for maps on cone metric spaces, Appl. Math. Lett., 2010, 23(9):1033-1037.
[15] Stanic M. P., Cvetkovi? A. S., Simi? S., et al., Common fixed point under contractive condition of Ciric's type on cone metric type spaces, Fixed Point Theory Appl., 2012, 2012:35, 7 pp.
[16] Zhu C. X., Research on some problems for nonlinear operators, Nonlinear Anal., 2009, 71(10):4568-4571.
[17] Zhu C. X., Xu Z. B., Inequalities and solution of an operator equation, Appl. Math. Lett., 2008, 21(6):607-611.

[1]李娟, 朱传喜. 半序度量空间中公共二元随机重合点定理及其应用[J]. 数学学报, 2016, 59(3): 343-356.
[2]刘建辉, 朱传喜, 吴照奇. 半序概率度量空间中压缩条件下的三元重合点定理[J]. Acta Mathematica Sinica, English Series, 2014, 57(3): 517-526.
[3]徐士英. 线性拓扑空间中的序收敛[J]. Acta Mathematica Sinica, English Series, 1979, 22(6): 759-761.



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