New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations (Q709283)
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scientific article; zbMATH DE number 5801189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations |
scientific article; zbMATH DE number 5801189 |
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New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations (English)
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18 October 2010
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The first part of the paper proposes fixed point theorems in Banach algebras for the following abstract fixed point equation involving three operators \[ x=AxBx+Cx. \] Then, in the second part some applications to two nonlinear functional integral equations in a suitable Banach algebra are given.
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Banach algebra
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nonlinear integral equation
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Krasnoselskii type fixed point theorems
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sequentially weakly continuous
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