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锥度量空间中一类压缩映射不动点定理 被引量:1

Fixed point theorem for a class of contractive mappings in cone metric spaces
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摘要 在锥度量空间中,运用迭代方法,研究了一类压缩算子的不动点存在性和唯一性,获得几个新的不动点定理,推广和改进了相关文献结果. In the cone metric space, by using iterative methods, this paper studies fixed points of a class of contractive operators and obtains the existence and uniqueness of fixed point, which extends and improves some corresponding results of related literature.
作者 彭荣
出处 《西南民族大学学报(自然科学版)》 CAS 2011年第2期187-192,共6页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 锥度量空间 压缩映射 不动点:序列收敛映射 cone metric space contractive mapping fixed point sequentially convergent mapping
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参考文献10

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二级参考文献7

  • 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).
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  • 7颜心力.混合单调算子的不动点定理及其应用[J].应用数学,1991,4(4):107-114. 被引量:35

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