| Issue |
RAIRO-Oper. Res.
Volume 54, Number 3, May-June 2020
|
|
|---|---|---|
| Page(s) | 637 - 652 | |
| DOI | https://doi.org/10.1051/ro/2019019 | |
| Published online | 12 March 2020 | |
An exact minimax penalty function approach to solve multitime variational problems
Department of Applied Mathematics, Indian Institiute of Technology (Indian School of Mines), 826004 Dhanbad, Jharkhand India
* Corresponding author: anurag_jais123@yahoo.com
Received:
3
July
2018
Accepted:
2
February
2019
This paper aims to examine an appropriateness of the exact minimax penalty function method applied to solve the partial differential inequation (PDI) and partial differential equation (PDE) constrained multitime variational problems. The criteria for equivalence between the optimal solutions of a multitime variational problem with PDI and PDE constraints and its associated unconstrained penalized multitime variational problem is studied in this work. We also present some examples to validate the results derived in the paper.
Mathematics Subject Classification: 26B25 / 65K10 / 90C30
Key words: Convexity / exact minimax penalty function method / multitime variational problem / PDI / PDE constraints
© EDP Sciences, ROADEF, SMAI 2020
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