Approximation structures and applications to evolution equations

Adrian Duma and Cristian Vladimirescu

Abstract and Applied Analysis, 2003, vol. 2003, issue 12, 685-696

Abstract: We discuss various properties of the nonlinear A‐proper operators as well as a generalized Leray‐Schauder principle. Also, a method of approximating arbitrary continuous operators by A‐proper mappings is described. We construct, via appropriate Browder‐Petryshyn approximation schemes, approximative solutions for linear evolution equations in Banach spaces.

Date: 2003
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https://doi.org/10.1155/S1085337503301010

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:12:p:685-696

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