| Issue |
RAIRO-Oper. Res.
Volume 52, Number 1, January–March 2018
|
|
|---|---|---|
| Page(s) | 79 - 93 | |
| DOI | https://doi.org/10.1051/ro/2018004 | |
| Published online | 23 April 2018 | |
Duality of variational problems with a new approach
Department of Mathematics, Veer Surendra Sai University of Technology,
Burla
768018, India
* Corresponding author: skpadhan_math@vssut.ac.in
Received:
26
June
2017
Accepted:
14
January
2018
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.
Mathematics Subject Classification: 49N15 / 65K05 / 65K10 / 65K99 / 32A70
Key words: Variational problems / convexity / third order duality / duality results
© EDP Sciences, ROADEF, SMAI 2018
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