Exponential type duality for η-approximated variational problems

Abstract

In this article, we use the so-called η-approximation method for solving a new class of nonconvex variational problems with exponential (p, r)-invex functionals. In this approach, we construct η-approximated variational problem and η-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 η-approximated variational problems mentioned above.

Duality for a fractional variational formulation using $\eta$-approximated method

“…Recently, Jayswal et al [13] established the interrelation between a variational and modified variational problem using η-approximation method. Jha et al [14] introduced exponential type duality for η-approximated variational problems, which we have extended to the fractional analog in the present paper especially implementing η-approximation method. We consider the associated fractional variational programming problem using the η-approximation method under invexity.…”