Fixed point theorems in the study of positive strict set-contractions

DOI10.22199/issn.0717-6279-4354zbMath1489.47080OpenAlexW3215424830WikidataQ113714657 ScholiaQ113714657MaRDI QIDQ5065223

Salima Mechrouk

Publication date: 18 March 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4354

zbMATH Keywords

fixed point theorypositive solutionboundary value problemconesstrict set-contractionsgeneral minorant principle

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Positive solution to the nonlinear abstract Hammerstein equation and applications to \(\phi\)-Laplacian BVPs
• A fixed point theorem for positive strict set-contractions mappings and its application to Urysohn type integral equations
• Positive solutions for abstract Hammerstein equations and applications
• Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces
• Fixed point theorems in cones and application
• The fixed point index for local condensing maps
• Fixed points of asymptotically linear maps in ordered Banach spaces
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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