Exponential Type Duality for $\eta$-Approximated Variational Problems
Yugoslav journal of operations research, Tome 30 (2020) no. 1, p. 19
Cet article a éte moissonné depuis la source 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.
Classification :
49N15, 90C26, 90C30, 90C46
Keywords: Variational Problem, $\eta$-Approximated Variational Problem, Mond-Weir Dual Variational Problem, $(p, r)$-Invexity
Keywords: 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 },
year = {2020},
volume = {30},
number = {1},
language = {en},
url = {http://geodesic.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 VL - 30 IS - 1 UR - http://geodesic.mathdoc.fr/item/YJOR_2020_30_1_a1/ LA - en ID - YJOR_2020_30_1_a1 ER -
Shalini Jha; Prasun Das; Tadeusz Antczak. Exponential Type Duality for $\eta$-Approximated Variational Problems. Yugoslav journal of operations research, Tome 30 (2020) no. 1, p. 19 . http://geodesic.mathdoc.fr/item/YJOR_2020_30_1_a1/