New iterative methods to solve equations and systems in ordered spaces

DOI10.1016/S0362-546X(01)00891-4zbMath1023.47051MaRDI QIDQ1849032

Seppo Heikkilä

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

iterative methodfixed point theoremmethod of successive approximationsordered spaces

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (1)

Existence results for operator and differential equations and inclusions

Cites Work

• Operator and differential equations in ordered spaces
• Approximation of solutions for nonlinear problems with an application to the study of aneurysms of the circle of Willis
• Monotone-iterative technique for decreasing mappings
• An abstract monotone iterative technique
• Monotone iterative techniques in ordered banach spaces
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