Concepedia
Nonlinear Analysis · 2010 · 241 citations · 10 references
Natural SciencesMathematicsTopologyFixed Point TheoryFixed PointsMetric GeometryMetric SpacesPartial OrdersPartially Ordered SetsCoupled Fixed PointsExistence Of Fixed PointsFixed Point FormulationsMetric Fixed Point TheoryOrdered Metric Spaces
10
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
Natural Sciences, Mathematics, Set Theory +8
Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations
Juan J. Nieto, Rosana Rodríguez‐López · Order · 2005 · 1.3K citations
Natural Sciences, Mathematics, Differential Equations +13
Fixed point theorems in partially ordered metric spaces and applications
T. Gnana Bhaskar, V. Lakshmikantham · Nonlinear Analysis · 2006 · 1.2K citations
Natural Sciences, Mathematics, Set Theory +12
Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
V. Lakshmikantham, Łjubomir Ćirić · Nonlinear Analysis · 2008 · 850 citations
Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations
Juan J. Nieto, Rosana Rodríguez‐López · Acta Mathematica Sinica English Series · 2006 · 578 citations
Natural Sciences, Mathematics, Differential Equations +14