Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces
Open Access
- 29 January 2009
- journal article
- research article
- Published by Springer Science and Business Media LLC in Fixed Point Theory and Applications
- Vol. 2008 (1), 131294
- https://doi.org/10.1155/2008/131294
Abstract
A concept of "Equation missing"-monotone mapping is introduced, and some fixed and common fixed point theorems for "Equation missing"-non-decreasing generalized nonlinear contractions in partially ordered complete metric spaces are proved. Presented theorems are generalizations of very recent fixed point theorems due to Agarwal et al. (2008).Keywords
This publication has 19 references indexed in Scilit:
- Coupled fixed point theorems for nonlinear contractions in partially ordered metric spacesNonlinear Analysis, 2009
- Some Extensions of Banach's Contraction Principle in Complete Cone Metric SpacesFixed Point Theory and Applications, 2008
- Generalized contractions in partially ordered metric spacesApplicable Analysis, 2008
- Coincidence and fixed points for maps on topological spacesTopology and its Applications, 2007
- Fixed-point theorems in partially ordered metric spaces for operators with PPF dependenceNonlinear Analysis, 2007
- The Monotone Iterative Technique for Three-Point Second-Order Integrodifferential Boundary Value Problems with p-LaplacianBoundary Value Problems, 2007
- Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential EquationsActa Mathematica Sinica, English Series, 2006
- Fixed points and approximate solutions for nonlinear operator equationsJournal of Computational and Applied Mathematics, 2000
- A Generalization of Banach's Contraction PrincipleProceedings of the American Mathematical Society, 1974
- On Nonlinear ContractionsProceedings of the American Mathematical Society, 1969