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Higher-order necessary conditions for infinite and semi-infinite optimization (1982)

Linnemann, A.

Springer

Journal of optimization theory and applications 38 (1982), S. 483-511

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ISSN: 1573-2878

Keywords: Higher-order necessary conditions ; variational derivatives ; multiplier rules ; abstract optimization ; semi-infinite programming

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper, we present a unified theory of first-order and higher-order necessary optimality conditions for abstract vector optimization problems in normed linear spaces. We prove general multiplier rules, from which nearly all known first-order, second-order, and higher-order necessary conditions can be derived. In the last section, we prove higher-order necessary conditions for semi-infinite programming problems.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00934484

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