A constructive version of the extremum value theorem for spaces of vector-valued functions

Pavel Osinenko, Stefan Streif

Abstract


It is shown that the extremum value theorem for spaces of two-dimensional vector-valued functions in an approximate format admits a proof in the sense of Bishop's constructive mathematics. The proof is based on an explicit construction of functions that build an approximation to the original function space.

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DOI: https://doi.org/10.4115/jla.2018.10.4

Copyright (c) 2018 Pavel Osinenko, Stefan Streif

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Journal of Logic and Analysis ISSN:  1759-9008