Approximating fixed-points of decreasing operators in spaces of continuous functions*

DOI10.1080/01630569808816850zbMath0907.45006OpenAlexW2118067149MaRDI QIDQ4210741

Alvise Sommariva, Marco Vianello

Publication date: 4 March 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569808816850

zbMATH Keywords

pointwise convergencedecreasing operatorsfixed-point equationpartially ordered Banach spacecone of positive functionsmonotone demicontinuityperturbed nonlinear integral equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05) Positive solutions of integral equations (45M20)

Related Items (4)

Existence of positive continuous solutions of perturbed hammerstein equations ⋮ Constructive analysis of purely integral Boltzmann models ⋮ Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations ⋮ A Fixed Point Theorem for Decreasing Functions

Cites Work

• Random fixed-point theorems and approximation in cones
• Some fixed point theorems for concentrative mappings between locally convex linear topological spaces

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