Existence and uniqueness of fixed points for some mixed monotone operators
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Publication:988796
DOI10.1016/J.NA.2010.04.008zbMath1229.47082OpenAlexW2000957887MaRDI QIDQ988796
Publication date: 19 August 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.04.008
Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Nonlinear integral equations (45G99)
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Cites Work
- Unnamed Item
- Fixed-point theorems of \(\phi\) concave-(\(-\psi\)) convex mixed monotone operators and applications
- Existence and uniqueness of fixed points for mixed monotone operators with applications
- New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation
- Fixed point theorems for mixed monotone operators with PPF dependence
- On fixed point theorems of mixed monotone operators and applications
- Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
- New fixed point theorems of mixed monotone operators and applications
- Fixed point theorems of \(\phi\) convex \(-\psi\) concave mixed monotone operators and applications
- New fixed point theorems and applications of mixed monotone operator
- Fixed point theorems for a class of mixed monotone operators with applications
- Coupled fixed points of nonlinear operators with applications
- Existence and uniqueness of positive fixed points for mixed monotone operators and applications
- Iterative solutions of systems of operator equations in ordered banach spaces and applications
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