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.

Keywords

• variational problem
• η-approximated variational problem
• mond-weir dual variational problem
• (p,r)-invexity