A fixed point theorem for positive strict set-contractions mappings and its application to Urysohn type integral equations

DOI10.1007/s00013-015-0802-1zbMath1408.45001OpenAlexW1146445472MaRDI QIDQ500863

Besma Boucheneb, Abdelhamid Benmezaï

Publication date: 5 October 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0802-1

zbMATH Keywords

conespositive eigenvaluefixed point index theorystrict set-contractions

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a perturbed functional integral equation of Urysohn type
• A generalization of Mahadevan's version of the Krein-Rutman theorem and applications to \(p\)-Laplacian boundary value problems
• A nonlinear Krein Rutman theorem
• Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
• Positive and nontrivial solutions for the Urysohn integral equation
• A fixed-point theorem for S-type operators on Banach spaces and its applications to boundary-value problems
• Solvability of Urysohn integral equation.
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• On integral equations of Urysohn-Volterra type
• Positive eigenvalue-eigenvector of nonlinear positive mappings
• Nonlinear extensions of the Perron-Frobenius theorem and the Krein-Rutman theorem
• A note on a nonlinear Krein-Rutman theorem
• The fixed point index for local condensing maps

This page was built for publication: A fixed point theorem for positive strict set-contractions mappings and its application to Urysohn type integral equations