Iterative method for coupled quasi-solutions of mixed monotone operator equations. (English) Zbl 0763.65041
The authors prove existence theorems for coupled quasi-fixed points for mixed monotone operators and apply their results to the Hammerstein integral equation.
Reviewer: A.Galántai (Miskolc-Egyetemvaros)
MSC:
65J15 | Numerical solutions to equations with nonlinear operators |
65R20 | Numerical methods for integral equations |
47J25 | Iterative procedures involving nonlinear operators |
45G10 | Other nonlinear integral equations |
47H10 | Fixed-point theorems |
47H07 | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces |
Keywords:
iterative method; coupled quasi-solutions; mixed monotone operator equations; coupled quasi-fixed points; mixed monotone operators; Hammerstein integral equationReferences:
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