Necessary conditions on minimizing sequences for an extremum problem governed by an integral equation

被引:0
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作者
Begashaw, N [1 ]
Medhin, NG [1 ]
Sambandham, M [1 ]
机构
[1] Clark Atlanta Univ, Dept Math, Atlanta, GA 30314 USA
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中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We present necessary conditions on minimizing sequences for an extremum problem governed by an integral equation. The tool we use is Ekeland's variational principle [1]. We follow Plotnikov and Sumin [2] in our approach. The necessary conditions are valid for certain minimizing sequences that violate the imposed constraints. However, we assume that there are minimizing sequences that fullfill the imposed constraints. Details of this paper and extensions will appear elsewhere.
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页码:83 / 85
页数:3
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