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Zbl 1040.45003
Dhage, B.; O'Regan, D.
A fixed point theorem in Banach algebras with applications to functional integral equations. (English)
[J] Funct. Differ. Equ. 7, No. 3-4, 259-267 (2000). ISSN 0793-1786

Summary: This paper establishes an existence theorem for a certain class of functional integral equations via a new fixed point theorem of Leray-Schauder type for operators defined on Banach algebras.
MSC 2000:
*45N05 Integral equations in abstract spaces
45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations

Keywords: nonlinear functional integral equations; existence; fixed point theorem; Banach algebras

Cited in: Zbl 1174.47422

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