XU Mingxing,HUANG Xin,PIAO Yongjie*.Unique common fixed points for four mappings on b -D-metric spaces with a coefficient s[J].Journal of Yanbian University,2016,42(02):95-98.
具有系数s的b -D-度量空间上4个映射的唯一公共不动点
- Title:
- Unique common fixed points for four mappings on b -D-metric spaces with a coefficient s
- 分类号:
- O177.3; O189.11
- 文献标志码:
- A
- 摘要:
- 引进新的具有系数s的b -D-度量空间,在给出该空间上序列的柯西判别法后,利用给定的4个自映射S,T,I,J构造收敛序列,并证明了该序列的极限是S,T,I,J的唯一公共不动点.所得结论是Banach型、Kannan型及变形的Kannan型(公共)不动点定理在具有系数s的b -D-度量空间上的推广结果.
- Abstract:
- We introduce a new metric space, i.e., b -D-metric spaces with a coefficient s, and give the Cauchy test for the given sequence on this space, then we use the given four self-mappings S, T, I, J to construct a convergent sequence and prove that the limit of the sequence is the unique common fixed point of S, T, I, J. The obtained results are the generalizations of Banach type, Kannan type and variant Kannan type(common)fixed point theorems on b -D-metric spaces with a coefficient s.
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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(02):1.
备注/Memo
收稿日期: 2016-04-07 基金项目: 国家自然科学基金资助项目(11361064)*通信作者: 朴勇杰(1962—),男,理学博士,教授,研究方向为非线性分析及不动点理论.