The present investigation introduces the third order duality in variational problems, as because, in certain situations, first and second order duality do not yield solutions but it succeeds in finding the desired results. The duality results for the pair of variational primal problems and their corresponding third order dual problems are demonstrated. Counterexamples are provided to justify the importance of the current research work. It is found that many reported results of the literature are particular cases of this paper.
Accepté le :
DOI : 10.1051/ro/2018004
Mots clés : Variational problems, convexity, third order duality, duality results
@article{RO_2018__52_1_79_0,
author = {Padhan, S.K.},
title = {Duality of variational problems with a new approach},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {79--93},
publisher = {EDP-Sciences},
volume = {52},
number = {1},
year = {2018},
doi = {10.1051/ro/2018004},
zbl = {1400.49044},
mrnumber = {3812470},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2018004/}
}
TY - JOUR AU - Padhan, S.K. TI - Duality of variational problems with a new approach JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 79 EP - 93 VL - 52 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2018004/ DO - 10.1051/ro/2018004 LA - en ID - RO_2018__52_1_79_0 ER -
Padhan, S.K. Duality of variational problems with a new approach. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 1, pp. 79-93. doi : 10.1051/ro/2018004. http://www.numdam.org/articles/10.1051/ro/2018004/
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