ON SOME NONSTANDARD SEMI-INFINITE PROGRAMMING PROBLEMS

Abstract

Aspects of the duality theory for semi-infinite programming are here extended to fields with properties of non-Archimedean order. Emphasis is on nonstandard semi-infinite programming problems in Hilbert's Field. The ideas of regularization are generalized to include powers of the relative infinites in terms of the indeterminates.

Keywords

PROGRAMMING PROBLEMS
DUALITY
EMPHASIS
SEMI INFINITE
ARCHIMEDEAN
INDETERMINATES
HILBERT'S
NONSTANDARD SEMI

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