On existence theorems for nonlinear integral equations in Banach algebras via fixed point techniques (Q2757171)
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scientific article; zbMATH DE number 1675957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On existence theorems for nonlinear integral equations in Banach algebras via fixed point techniques |
scientific article; zbMATH DE number 1675957 |
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21 November 2001
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operator equations
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nonlinear integral equation
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0.9460095
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0.9339576
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On existence theorems for nonlinear integral equations in Banach algebras via fixed point techniques (English)
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The author prves the solvability of operator equations of type \((Ax)(Bx)+ Cx= x\), with \(B\) being compact and \(A\) and \(C\) being condensing, in a Banach algebra \(X\). This is illustrated by means of a nonlinear integral equation in the space of bounded measurable functions with values in a Banach algebra.
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