Geodesic
A Duality Theorem for Infinite Dimensional Improper Mathematical Programming Problems
Yugoslav journal of operations research, Tome 6 (1996) no. 1, p. 33 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A mathematical programming problem is called proper if it is solvable together with its dual and both problems share the same optimal value. Otherwise it is called improper (or contradictory). In a situation of impropriety , standard duality gives only limited information about the problem . In this paper , for improper linear programs in Banach space, a (substantial) duality scheme is suggested and the corresponding duality theorem is proved.
Keywords: Duality, linear programming, improper problems 
@article{YJOR_1996_6_1_a2,
     author = {Anatolly Anatolijevich Vatolin},
     title = {A {Duality} {Theorem} for {Infinite} {Dimensional} {Improper} {Mathematical} {Programming} {Problems}},
     journal = {Yugoslav journal of operations research},
     pages = {33 },
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_1996_6_1_a2/}
}
TY  - JOUR
AU  - Anatolly Anatolijevich Vatolin
TI  - A Duality Theorem for Infinite Dimensional Improper Mathematical Programming Problems
JO  - Yugoslav journal of operations research
PY  - 1996
SP  - 33 
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/YJOR_1996_6_1_a2/
LA  - en
ID  - YJOR_1996_6_1_a2
ER  - 
%0 Journal Article
%A Anatolly Anatolijevich Vatolin
%T A Duality Theorem for Infinite Dimensional Improper Mathematical Programming Problems
%J Yugoslav journal of operations research
%D 1996
%P 33 
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/YJOR_1996_6_1_a2/
%G en
%F YJOR_1996_6_1_a2
Anatolly Anatolijevich Vatolin. A Duality Theorem for Infinite Dimensional Improper Mathematical Programming Problems. Yugoslav journal of operations research, Tome 6 (1996) no. 1, p. 33 . http://geodesic.mathdoc.fr/item/YJOR_1996_6_1_a2/