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.
Mots-clés : Convexity, exact minimax penalty function method, multitime variational problem, PDI, PDE constraints
@article{RO_2020__54_3_637_0, author = {Jayswal, Anurag and Preeti}, title = {An exact minimax penalty function approach to solve multitime variational problems}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {637--652}, publisher = {EDP-Sciences}, volume = {54}, number = {3}, year = {2020}, doi = {10.1051/ro/2019019}, mrnumber = {4075324}, zbl = {1446.35007}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2019019/} }
TY - JOUR AU - Jayswal, Anurag AU - Preeti TI - An exact minimax penalty function approach to solve multitime variational problems JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 637 EP - 652 VL - 54 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019019/ DO - 10.1051/ro/2019019 LA - en ID - RO_2020__54_3_637_0 ER -
%0 Journal Article %A Jayswal, Anurag %A Preeti %T An exact minimax penalty function approach to solve multitime variational problems %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 637-652 %V 54 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019019/ %R 10.1051/ro/2019019 %G en %F RO_2020__54_3_637_0
Jayswal, Anurag; Preeti. An exact minimax penalty function approach to solve multitime variational problems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 3, pp. 637-652. doi : 10.1051/ro/2019019. http://www.numdam.org/articles/10.1051/ro/2019019/
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