Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844598 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 16 Pages |
Abstract
In this paper, a new class of differentiable functions, called GG-invex functions with respect to ηη, is introduced by extending the definition of invex functions. New necessary optimality conditions of GG-F. John and GG-Karush–Kuhn–Tucker type are obtained for differentiable constrained mathematical programming problems. The GG-invexity concept introduced is used to prove the sufficiency of these necessary optimality conditions. Further, a so-called GG-Mond–Weir-type dual is formulated and various duality results are also established by assuming the functions involved to be GG-invex with respect to the same function ηη.
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Authors
Tadeusz Antczak,