[1] Zhu Shunrong,. Common Fixed Point Theorems for Commuting Mapson a Complete Metric Space [J]. Journal of Southeast University (English Edition), 2001, 17 (1): 82-84. [doi:10.3969/j.issn.1003-7985.2001.01.020]
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Common Fixed Point Theorems for Commuting Mapson a Complete Metric Space(
)
完备度量空间上交换映射的公共不动点定理
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 17
- Issue:
- 2001 1
- Page:
- 82-84
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2001-06-30
Info
- Title:
- Common Fixed Point Theorems for Commuting Mapson a Complete Metric Space
- 完备度量空间上交换映射的公共不动点定理
- Author(s):
- Zhu Shunrong
- Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China
- 朱顺荣
- 南京理工大学应用数学系, 南京 210094
- Keywords:
- distance; fixed point; complete metric space
- PACS:
- O174.12
- DOI:
- 10.3969/j.issn.1003-7985.2001.01.020
- Abstract:
- The concept of w-distance on a metric space is introduced and three common fixed points theorems for commuting maps on a complete metric space are proved. These results extended fixed point theorems of Jungck and Ciric.
- 在度量空间中引入w-距离, 证明了在完备度量空间中交换映射的3个公共不动点定理.这些结果推广了Jungck and Ciric的不动点定理.
References:
[1] G.Jungck, Commuting mappings and fixed points, Amer.Math. Monthly. vol.83, no.4, pp.261-263, 1976
[2] Lj.B. Ciric, A generalization of Banach’s contraction principle, Proc. Amer. Math, vol.45, no.2, pp.267-273, 1974
[3] O.Kada, T.Suzuki, and W.Takahashi, Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japonica, vol.44, no.2, pp.381-391, 1996
Memo
- Memo:
- * Born in 1946, male, associate professor.
Last Update: 2001-03-20