Approximating the integral of a multifunction (Q1105722)
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scientific article; zbMATH DE number 4059760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximating the integral of a multifunction |
scientific article; zbMATH DE number 4059760 |
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Approximating the integral of a multifunction (English)
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1988
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Given a weakly converging sequence of measures, the convergence of the corresponding integrals of a continuous (unbounded) multifunction with values in the Euclidean space is studied. Many counterexamples are given. Applications to variational problems are indicated, using inf-convolution of the normal integrands. A practical guideline for the design of numerical procedures to calculate the integral of multifunction is suggested by results of the chapter devoted to truncation of the multifunctions and measure approximation.
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approximation of variational problems
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stochastic optimization
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inf- convolution
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numerical procedures
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integral of multifunction
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measure approximation
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