Existence and uniqueness of the solution for a general system of Fredholm integral equations

DOI10.1002/MMA.6737MaRDI QIDQ6617312

Adrian Petruşel, Alexandru-Darius Filip

Publication date: 10 October 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

fixed pointweakly Picard operatorvector-valued metricabstract Gronwall lemma\(\alpha\)-contractionHardy-Rogers-type contractionFredholm integral equation system

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Cites Work

• Existence and stability results for a system of operator equations via fixed point theory for nonself orbital contractions
• The role of matrices that are convergent to zero in the study of semilinear operator systems
• Un'osservazione sulle contrazioni metriche
• Generalized contractions and applications
• Some problems in the fixed point theory
• Numerical Linear Algebra
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