Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces

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

Fixed point theorems by altering distances between the points

M. S. Khan, M. Swaleh, Salvatore Sessa · Bulletin of the Australian Mathematical Society · 1984 · 730 citations · Full text

Natural Sciences, Mathematics, Geometry +10

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