Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations
By Josefa Caballero, Jackie Harjani, Kishin B. Sadarangani. 2010
47 citations recorded by the source corpus.
The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equations.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/bd27c71f9dfae92286fe4b1dc4f4d768e0cf3c65
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In Geometry and Topology
- Calogero Vetro
- Bessem Samet
- E. Karapınar
- Hassen Aydi
- Stojan Radenovic
- Zoran Kadelburg
- Nawab Hussain
- Pasquale Vetro
Citations in the corpus
- Coupled fixed point, $F$-invariant set and fixed point of $N$-order (2010, background): “Recently, there is also a trend to weaken the requirement on contractive conditions by considering metric spaces and cone metric spaces endowed with partial order [1, 2, 3, 5, 13, 15, 16, 17, 18].”