BANACH CONTRACTION PRINCIPLE ON CONE RECTANGULAR METRIC SPACES
By Akbar Azam, Muhammad Arshad, Ismat Beg. 2009
88 citations recorded by the source corpus.
We introduce the notion of cone rectangular metric space and prove Banach contraction mapping principle in cone rectangular metric space setting. Our result extends recent known results.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/11d7076872394ddfb8efebfc9d31beaa67de12bb
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In Geometry and Topology
- Zoran Kadelburg
- Stojan Radenovic
- Nguyen Van Dung
- E. Karapınar
- Slobodanka Jankovic
- Tran Van An
- Jamshaid Ahmad
- Muhammad Arshad
Citations in the corpus
- Some Common Fixed Point Results in Rectangular Metric Spaces (2013, background): “[4] proved an analog of Banach Contraction Principle in the setting of rectangular cone metric spaces.”
- On cone metric spaces: A survey (2011, background): “Soon after this work many articles concerned with cone spaces with normal cones appeared (see [9–53]).”
- Various generalizations of metric spaces and fixed point theorems (2015, background): “There are a lot of other generalizations of metric spaces, with the same idea as cone metric spaces and complex valued metric spaces, such as cone rectangular metric spaces [26], generalized cone metric spaces [30], cone b-metric spaces [73], cone symmetric spaces [116], tvs-cone b-metric spaces [11”
- Rectangular b-metric space and contraction principles (2015, background): “Since then many fixed point theorems for various contractions on rectangular metric space appeared (see [1],[3],[4],[10],[15],[16],[17],[18],[19],[22],[23],[25],[26]).”
- Fixed point results in generalized metric spaces without Hausdorff property (2014, background): “As a consequence, most of the results from the papers [6, 21, 22, 31] can be proved by reducing them to respective known results in (standard) g.”