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Approximation structures and applications to evolution equations

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  • Adrian Duma
  • Cristian Vladimirescu

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.

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Handle: RePEc:wly:jnlaaa:v:2003:y:2003:i:12:p:685-696
DOI: 10.1155/S1085337503301010
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