SHEN Jinghu,PIAO Yongjie.Unique common fixed points for a family of quasi-contractive self-mappings on D -metric spaces[J].Journal of Yanbian University,2014,40(01):8-10，24.
D -度量空间上一族拟收缩自映射的唯一公共不动点
- Title:
- Unique common fixed points for a family of quasi-contractive self-mappings on D -metric spaces
- 分类号:
- O177.3; O189.11
- 文献标志码:
- A
- 摘要:
- 利用D-度量空间上满足某种拟收缩条件的满自映射族{fn}n∈N,构造了具有唯一极限的序列,证明了如果{fn}n∈N满足其他一些条件,则上述唯一极限为{fn}n∈N的唯一公共不动点,并且在D-度量空间上给出了更为一般的一族拟收缩自映射的唯一公共不动点定理.
- Abstract:
- We use a family of surjective self-maps {fn}n∈N satisfying some quasi-contractive condition on D-metric space to construct a sequence which has an unique limit, and prove that the limit is the unique common fixed point of {fn}n∈N if {fn}n∈N satisfies other some conditions. Furthermore, we give a more general unique common fixed point theorem for a family of quasi-contractive self-maps on D-metric spaces.
参考文献/References:
[1] Dhage B. Generalized metric spaces and mappings with fixed points[J]. Bull Cal Math Soc, 1992,84:329-336.
[2] Singh 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.
[3] Dhage 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.
[4] Dhage 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 & Math Sci, 2003,40:2519-2539.
[5] Singh 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.
[6] Singh B, Sharma R. Common fixed points via compatible maps in D-metric spaces[J]. Rad Mat, 2002,11(2):145-153.
[7] Gajic L. On a common fixed point for sequence of selfmappings in generalized metric space[J]. Novi Sad J Math, 2006,36(2):153-156.
[8] Dhage B. Some results on common fixed points-I[J]. Indian J of Pure Appl Math, 1999,30:827-837.
相似文献/References:
[1]龚学,徐佳宁,吴凡,等.完备的D-度量空间上具有收缩型条件映射族的唯一公共不动点[J].延边大学学报(自然科学版),2015,41(01):1.
GONG Xue,XU Jianing,WU Fan,et al.Unique common fixed points for a family of mappings with contractive type conditions on complete D-metric spaces[J].Journal of Yanbian University,2015,41(01):1.
备注/Memo
收稿日期: 2013-10-22 作者简介: 沈京虎(1962—),男,副教授,研究方向为统计学.基金项目: 国家自然科学基金资助项目(11261062); 吉林省教育厅“十二五”科研项目(吉教科合字[2011]第434号)