Iterative solutions for systems of nonlinear operator equations in Banach space (Q1418257)
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scientific article; zbMATH DE number 2029328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative solutions for systems of nonlinear operator equations in Banach space |
scientific article; zbMATH DE number 2029328 |
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Iterative solutions for systems of nonlinear operator equations in Banach space (English)
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2 March 2004
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On a real Banach space with a partial ordering induced by a normal cone, the author considers a system of nonlinear equations of the form (1) \(u = A(u,u), u = B(u,u)\) under a particular set of assumptions for the operators \(A\) and \(B\) that do not require them to be mixed monotone or continuous. The convergence of a specific iterative scheme is proved and related results for the existence and uniqueness of solutions of (1) are discussed.
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partially-ordered Banach space
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nonlinear equations
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iteration scheme
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existence
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uniqueness
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