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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