Monotone-iterative technique for decreasing mappings

DOI10.1016/S0362-546X(00)85035-XzbMath0958.47026MaRDI QIDQ1570953

Valter Šeda

Publication date: 4 April 2001

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

zbMATH Keywords

lower and upper solutionsmonotone iterative technique\(\alpha\)-condensing operatorsincreasing (decreasing) operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (5)

Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications ⋮ Some theorems on existence and uniqueness of fixed points for decreasing operators ⋮ A Fixed Point Theorem for Decreasing Functions ⋮ New iterative methods to solve equations and systems in ordered spaces ⋮ Existence and comparison results for operator and differential equations in abstract spaces

Cites Work

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• On condensing discrete dynamical systems
• Antitone operators and ordinary differential equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Generalized boundary value problems and Fredholm mappings
• Monotone iterative techniques in ordered banach spaces

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