Comparison Functions and Fixed Point Results in Partial Metric Spaces
By Nawab Hussain, Zoran Kadelburg, Stojan Radenovic, F. Al-Solamy. 2012
54 citations recorded by the source corpus.
The aim of this article is to clearly formulate various possible assumptions for a comparison function in contractive conditions and to deduce respective (common) fixed point results in partial metric spaces. Since standard metric spaces are special cases, these results also apply for them. We will show by examples that there exist situations when a partial metric result can be applied, while the standard metric one cannot.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7f2c9e28aec61481ca9699ab50b3f899c38b13bb
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In Geometry and Topology
- Peyman Salimi
- Nawab Hussain
- Stojan Radenovic
- Zoran Kadelburg
- Saleh Abdullah Al-Mezel
- Dragan Ðorić
- Nguyen Van Dung
- Vahid Parvaneh
Citations in the corpus
- Suzuki-type fixed point results in metric type spaces (2012, background): “[4] have extended Suzuki’s Theorems 1 and 2, as well as Popescu’s results from [15] to the case of metric type spaces and cone metric type spaces (see also [5–7, 11]).”
- Fixed Points for -Graphic Contractions with Application to Integral Equations (2013, methodology): “Some more properties of partial metric spaces can be found in [3, 7, 19].”
- Suzuki-type fixed point results in metric type spaces (2012, background): “Other examples of the partial metric spaces which are interesting from a computational point of viewmay be found in [7, 11, 12, 18].”