Common Fixed Point Theorems for Weakly Compatible Pairs on Cone Metric Spaces
By G. Jungck, Stojan Radenovic, S. Radojević, Vladimir Rakocevic. 2009
212 citations recorded by the source corpus.
We prove several fixed point theorems on cone metric spaces in which the cone does not need to be normal. These theorems generalize the recent results of Huang and Zhang (2007), Abbas and Jungck (2008), and Vetro (2007). Furthermore as corollaries, we obtain recent results of Rezapour and Hamlborani (2008).
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/217d8100fcdeb75b2f5f6a751137af6560d97842
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In Geometry and Topology
- Nguyen Van Dung
- Stojan Radenovic
- Zoran Kadelburg
- Tran Van An
- Nawab Hussain
- VO Thi LE Hang
- Peyman Salimi
Citations in the corpus
- Fixed points of weak contractions in cone metric spaces (2010, unknown): “2 ([19]).”
- Various generalizations of metric spaces and fixed point theorems (2015, background): “These results improved and generalized many results from [1,4,46,71,80], see the details in [19, Theorems 2.”