Convex solutions of a nonlinear integral equation of Urysohn type

DOI10.1155/2009/917614zbMath1177.45003OpenAlexW2106792458WikidataQ59219680 ScholiaQ59219680MaRDI QIDQ1035133

Tiberiu Trif

Publication date: 10 November 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45708

zbMATH Keywords

measures of noncompactnessconvex solutionsnonlinear Urysohn integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Existence theorems for some quadratic integral equations
• Measures of noncompactness in metric fixed point theory
• Monotonic solutions of a quadratic integral equation of Volterra type
• On solutions of a quadratic integral equation of Hammerstein type
• On some Banach space constants arising in nonlinear fixed point and eigenvalue theory
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