Exponential type duality for η-approximated variational problems
DOI:
https://doi.org/10.2298/YJOR190415022JKeywords:
variational problem, η-approximated variational problem, Mond-Weir dual variational problem, (p,r)-invexityAbstract
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.References
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