Exponential Type Duality for $\eta$-Approximated Variational Problems
Yugoslav journal of operations research, Tome 30 (2020) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this article, we use the so-called $\eta$-approximation method for solving a new
class of nonconvex variational problems with exponential $(p; r)$-invex functionals. In this
approach, we construct $\eta$-approximated variational problem and $\eta$-approximated Mond-
Weir dual variational problem for the considered variational problem and its Mond-Weir
dual variational problem. Then several duality results for considered variational problem
and its Mond-Weir dual variational problem are proved by the help of duality results
established between $\eta$-approximated variational problems mentioned above.
Mots-clés :
Variational Problem, $\eta$-Approximated Variational Problem, Mond-Weir Dual Variational Problem, $(p, r)$-Invexity
@article{YJOR_2020_30_1_a1, author = {Shalini Jha and Prasun Das and Tadeusz Antczak}, title = {Exponential {Type} {Duality} for $\eta${-Approximated} {Variational} {Problems}}, journal = {Yugoslav journal of operations research}, pages = {19 - 43}, publisher = {mathdoc}, volume = {30}, number = {1}, year = {2020}, url = {https://geodesic-test.mathdoc.fr/item/YJOR_2020_30_1_a1/} }
TY - JOUR AU - Shalini Jha AU - Prasun Das AU - Tadeusz Antczak TI - Exponential Type Duality for $\eta$-Approximated Variational Problems JO - Yugoslav journal of operations research PY - 2020 SP - 19 EP - 43 VL - 30 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/YJOR_2020_30_1_a1/ ID - YJOR_2020_30_1_a1 ER -
%0 Journal Article %A Shalini Jha %A Prasun Das %A Tadeusz Antczak %T Exponential Type Duality for $\eta$-Approximated Variational Problems %J Yugoslav journal of operations research %D 2020 %P 19 - 43 %V 30 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/YJOR_2020_30_1_a1/ %F YJOR_2020_30_1_a1
Shalini Jha; Prasun Das; Tadeusz Antczak. Exponential Type Duality for $\eta$-Approximated Variational Problems. Yugoslav journal of operations research, Tome 30 (2020) no. 1. https://geodesic-test.mathdoc.fr/item/YJOR_2020_30_1_a1/