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F-型拓扑空间上Φ-压缩和局部Φ-压缩映射的不动点定理
Fixed Point Theorems of Φ-Contraction and Φ-Local Contraction Mappings in F-type Topological Spaces
【摘要】 在F-型拓扑空间中建立了Φ-压缩和局部Φ-压缩映射的不动点定理。据此,得到了Hausdorff拓扑向量空间和Menger概率度量空间上相应的Φ-压缩和局部Φ-压缩映射的不动点定理。
【Abstract】 In this paper, we found the fixed point theorems of Φ-contraction and Φ-local contraction mappings in F-type topological spaces.Based on, we obtain the corresponding fixed point theorems of Φ-contraction and Φ-local contraction mappings in Hausdorff topological vector spaces and Menger probability metric spaces.
【关键词】 F-型拓扑空间;
Φ-压缩映射;
局部Φ-压缩映射;
ε-可链空间;
不动点;
【Key words】 F-type topological spaces; Φ-contraction mapping; Φ-local contraction mapping; ε-chainable space; fixed point;
【Key words】 F-type topological spaces; Φ-contraction mapping; Φ-local contraction mapping; ε-chainable space; fixed point;
【基金】 江苏省教育厅自然科学基金资助项目(04KJB110061)
- 【文献出处】 苏州科技学院学报 ,Journal of University of Science and Technology of Suzhou , 编辑部邮箱 ,2006年01期
- 【分类号】O189.11
- 【被引频次】1
- 【下载频次】42