Generalized contractions in partially ordered metric spaces
By Ravi P. Agarwal, El Gebeily, Donal O'Regan. 2008
660 citations recorded by the source corpus.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/6dbe675d58fe3f84f09680407f23fdd57c5f53ca
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Bessem Samet
- Ljubomir Ciric
- Wutiphol Sintunavarat
- Ravi P. Agarwal
- Poom Kumam
- Vasile Berinde
- Dorel Mihet
- Reza Saadati
Citations in the corpus
- Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces (2011, background): “Since this principle is a powerful tool in nonlinear analysis, many mathematicians have much contributed to the improvement and generalization of this principle in many ways (see [2-10] and others).”
- Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces (2011, methodology): “The main idea in [2-11] involve combining the ideas of iterative technique in the contraction mapping principle with those in the monotone technique.”
- Common fixed-point results for nonlinear contractions in ordered partial metric spaces (2011, background): “There exist a vast literature concerning its various generalizations and extensions (see [1-45]).”
- Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces (2008, background): “Presented theorems are generalizations of very recent fixed point theorems due to Agarwal et al. 2008 .”
- Some Unique Fixed Point Theorems in Multiplicative Metric Spaces (2014, background): “Agarwal [7] discussed some fixed point theorems related to monotone operators in the setting of metric space equipped with a partial order using a weak generalized contractiontype mapping.”