Concepedia
Nonlinear Analysis · 2010 · 282 citations · 18 references
Metric SpacesPoint TheoremsGeneralized Meir–keeler ContractionFunctional Analysis
18
A fixed point theorem in partially ordered sets and some applications to matrix equations
André C. M. Ran, Martine Reurings · Proceedings of the American Mathematical Society · 2003 · 1.4K citations · Full text
Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations
Juan J. Nieto, Rosana Rodrı́guez-López · Order · 2005 · 1.2K citations
Order Theory, Contractive Mapping Theorems, Partially Ordered Sets +4
Fixed point theorems in partially ordered metric spaces and applications
T. Gnana Bhaskar, V. Lakshmikantham · Nonlinear Analysis · 2006 · 1.2K citations
Metric Spaces, Functional Analysis
Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
V. Lakshmikantham, Łjubomir Ćirić · Nonlinear Analysis · 2008 · 842 citations
Nonlinear Contractions, Point Theorems, Functional Analysis +2
A theorem on contraction mappings
A. Meir, Emmett B. Keeler · Journal of Mathematical Analysis and Applications · 1969 · 725 citations
Interpolation Space, Topological Property, Contraction Mappings +2