PIAO Yongjie.Improvements of the Banach - Chaterjia type fixed point theorem on multiplicative metric spaces[J].Journal of Yanbian University,2021,47(03):189-192,199.
乘积度量空间上Banach - Chaterjia型不动点定理的改进
- Title:
- Improvements of the Banach - Chaterjia type fixed point theorem on multiplicative metric spaces
- 文章编号:
- 1004-4353(2021)03-0189-05
- 关键词:
- 关键词: 乘积度量空间; 不动点; C*- 压缩
- 分类号:
- O177.3;O189.11
- 文献标志码:
- A
- 摘要:
- 摘要: 通过在 [0,1)3上引入一个实连续函数φ</sup>*, 在乘积度量空间上得到满足C*- 压缩条件的映射具有唯一不动点的存在性定理.该结果在乘积度量空间上推广和改进了Banach型不动点定理、 Chaterjia型不动点定理、 Banach - Chaterjia型不动点定理及其推广的不动点定理.
- Abstract:
- By introducing a real continuous function φ</sup>* on [0,1)3, the existence theorem of unique fixed points for mappings satisfying C*- contractive condition on multiplicative metric spaces is obtained. The results generalize and improve Banach type fixed theorem, Chaterjia type fixed point theorem, Banach - Chaterjia type fixed point theorem and the generalized fixed point theorems on multiplicative metric spaces.
参考文献/References:
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备注/Memo
收稿日期: 2021-08-06
基金项目: 国家自然科学基金(11361064)
作者简介: 朴勇杰(1962—),男,理学博士,教授,研究方向为非线性分析和不动点理论.