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D-度量空间上满足膨胀条件的两个映射的唯一公共不动点 被引量：1

Unique common fixed points for two mappings satisfying expansive conditions on D-metric spaces
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摘要 利用D-度量空间上满足某种膨胀条件的两个满自映射S和T,构造具有唯一极限的序列,证明S和T在某种附加条件下具有唯一公共不动点,得到更为一般形式的无穷多个映射的唯一公共不动点定理,推广和改进了D-度量空间上的唯一公共不动点定理。 Two surjective self-mappings S and T satisfying some expansive conditions on D-metric spaces are used to construct a sequence which has a unique limit. It is shown that S and T have a unique common fixed point under some additional conditions. Furthermore,a more general unique common fixed point theorem for a family of self-mappings is obtained. The obtained results generalize and improve some unique common fixed point theorems on D-metric spaces.
作者 朴勇杰 龚学 徐佳宁 吴凡
机构地区 延边大学理学院
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2015年第4期428-432,共5页 Journal of Natural Science of Heilongjiang University
基金 国家自然科学基金资助项目(11361064) 延边大学本科生科研项目(ydbksky2015189)
关键词 D-度量空间 序列 膨胀条件 公共不动点 D-metric space sequence expansive condition common fixed point
分类号 O177.3 [理学—基础数学] O189.11 [理学—基础数学]
  • 相关文献

参考文献11

  • 1DHAGE B C. Generalized metric spaces and mappings with fixed points [ J ]. Bulletin of Calcutta Mathematical Society, 1992, 84 (4) : 329 -336.
  • 2SINGH B, JAIN S, JAIN S. Semicompatibility and fixed point theorems in an unbounded D-metric space [ J ]. International Journal of Mathematics and Mathematical Sciences, 2005, 2005 (5) : 789 - 801.
  • 3DHAGE B C, ARYA S, UME J S. A general lemma for fixed-point theorems involving more than two maps in D-metric spaces with applications [ J]. International Journal of Mathematics and Mathematical Sciences, 2003, 2003 (11 ) : 661 -672.
  • 4DHAGE B C, ASHA A J, KANG S M. On common fixed points of pairs of a single and a muhivalued coincidentally commuting mappings in D- metric spaces [ J ]. International Journal of Mathematics and Mathematical Sciences, 2003, 2003 (40) : 2519 - 2539.
  • 5SINGH B, JAIN S. Common fixed points of weak-compatible maps on D-metric space [ J ]. Journal of ChungCheong Mathematical Society, 2004, 17(2) : 111 -124.
  • 6SINGH B, SHARMA R. Common fixed points via compatible maps in D-metric spaces [ J ]. Radovi Matematicki, 2002, 11 (2) : 145 -153.
  • 7GAJIC L. On a common fixed point for sequence of selfmappings in generalized metric space [ J ]. Novi Sad Journal of Mathematics, 2006, 36 (2) : 153 - 156.
  • 8沈京虎,朴勇杰.D-度量空间上一族拟收缩自映射的唯一公共不动点[J].延边大学学报（自然科学版）,2014,40(1):8-10. 被引量：5
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  • 10王尚志,李伯渝,高智民.膨胀算子及其不动点定理[J].数学进展,1982,11(2):149- 153.

二级参考文献8

  • 1Dhage B. Generalized metric spaces and mappings with fixed points[J]. Bull Cal Math Soc, 1992,84:329-336.
  • 2Singh B, Jain S, Jain S. Semicompatibility and fixed point theorems in an unbounded D-metric space[J]. Internat J Math & Math Sci, 2005,5:789-801.
  • 3Dhage B, Arya S, Ume J. A general lemma for fixed point theorems involving more than two maps in D-metric spaces with applications[J]. Internat J Math & Math Sci, 2003,11 :661-672.
  • 4Dhage B, Asha A, Kang S. On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in D-metric spaces[J]. Internat J Math b- Math Sci, 2003,40 : 2519-2539.
  • 5Singh B, Jain S. Common fixed points of weak-compatible maps on D-metric space[J]. J Chung Cheong Math Soc, 2004,17(2) : 111-124.
  • 6Singh B, Sharma R. Common fixed points via compatible maps in D-metric spaces[J]. Rad Mat, 2002,11(2) :145-153.
  • 7Gajic L. On a common fixed point for sequence of selfmappings in generalized metric space[J]. Novi Sad J Math, 2006,36 (2) : 153-156.
  • 8Dhage B. Some results on common fixed points-I[J]. Indian J of Pure Appl Math, 1999,30:827-837.

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黑龙江大学自然科学学报
2015年 第4期

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