期刊文献+

关于锥度量空间中压缩映射的不动点定理

On Fixed Point Theorems for Contractive Mappings in Cone Metric Spaces
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摘要 在锥度量空间中,运用锥的正则性与偏序理论,研究了一类单调压缩映射的不动点的存在性,获得了一些不动点的存在唯一性定理,推广和改进了已有文献的相关结果. In cone metric space, using the regularity of cone and partial order theory, the existence of fixed point for a class of monotone contractive operators were discussed. Some Existence and uniqueness the- orems for fixed point were obtained, which extended and improved the results in some relative literature.
作者 彭荣
出处 《广西民族大学学报(自然科学版)》 CAS 2012年第4期42-46,共5页 Journal of Guangxi Minzu University :Natural Science Edition
基金 广东培正学院青年基金项目(12PZMYB009)
关键词 不动点 锥度量空间 单调压缩映射 fixed point cone metric spaces monotone contractive mapping
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二级参考文献5

  • 1Huang, L. G., Zhang, X.: Cone metric spaces and fixed point theorems of contractive mappings. Y. Math. Anal. App., 332, 1468-1476 (2007).
  • 2Ilic, D., Rakocevic, V.: Common fixed points for maps on cone metric space. J. Math. Anal. Appl., 341(2), 876-882 (2008).
  • 3Abbas, M., Jungck, G.: Common fixed point results for noncommuting mappings without continuity in cone metric spaces. J. Math. Anal. Appl., 341(1), 416-420 (2008).
  • 4Xu, H. K.: Diametrically contractive mappings. Bulletin of the Australian Mathematical Society, 70(3), 463-468 (2004).
  • 5Deimling, K.: Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985.

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