Geodesic
Exponential Type Duality for $\eta$-Approximated Variational Problems
Yugoslav journal of operations research, Tome 30 (2020) no. 1, p. 19 .

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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 
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     author = {Shalini Jha and Prasun Das and Tadeusz Antczak},
     title = {Exponential {Type} {Duality} for $\eta${-Approximated} {Variational} {Problems}},
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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/