Intermediate value theorems for quasimonotone increasing mappings

DOI10.1080/01630569908816930zbMath0954.47039OpenAlexW2000753594MaRDI QIDQ4943329

Gerd Herzog, Roland Lemmert

Publication date: 16 March 2000

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

Full work available at URL: https://doi.org/10.1080/01630569908816930

zbMATH Keywords

condensing mappingintegro-functional equationquasimonotone mappingsHausdorff or Kuratowski measure noncompactness

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (1)

BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM

Cites Work

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• A fixed-point theorem for quasi-monotone increasing functions
• Ordinary differential equations in Banach spaces
• Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. (Ordinary differential equations with quasi-monotone increasing functions in topological vector spaces)
• Flow-invariant sets and differential inequalities in normed spaces^†
• Ein Existenzsatz für gewöhnliche Differentialgleichungen mit quasimonoton wachsender rechter Seite

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