Cone metric spaces with w-distance and fixed point theorems of contractive mappings
MetadataShow full item record
CitationLakzian, H. ve Arabyani, F. (2009). Cone metric spaces with w-distance and fixed point theorems of contractive mappings. Maltepe Üniversitesi. s. 176.
Osama Kada, Tomonari Suzuki, And Wataru Takahashi in1996 first introduced the concept of w-distance on a metric space and improved Carist’s fixed point theorem, and the nonconvex minimization theorem accoding to Takahahi. Further they proved a fixed point theorem in a complete metric space . Huang Long-Guang, Zhang Xian in 2004 has introduced cone metric space without w-distance and then proved some fixed point theorems of contractive mappings on cone metric spaces. Naoki Shioji, Tomonari Suzuki, and Wataru Takahashi in 1998 study the relationship between weakly contractive mappings and weakly Kannan mappings and then discuss characterization of metric completeness which are connected with the existence of fixed points for mappings and they show that a metric space is complete if it has the fixed point property for Kannan mappings. We compose these concepts together and introduce cone metric space with w-distance and then we prove a few fixed point theorems. In this paper, we introduce cone metric spaces with w-distance on X. Then we prove fixed point theorems of weakly contractive, weakly Caristi and weakly Kannan mappings.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
The following license files are associated with this item: