On G-invexity-type nonlinear programming problems
DOI:
https://doi.org/10.11121/ijocta.01.2015.00202Keywords:
mathematical programming, KT-G-invexity, WD-G-invexity, G-Karush-Kuhn-Tucker point, G-Wolfe dual problemAbstract
In this paper, we introduce the concepts of KT-G-invexity and WD$-G-invexity for the considered differentiable optimization problem with inequality constraints. Using KT-G-invexity notion, we prove new necessary and sufficient optimality conditions for a new class of such nonconvex differentiable optimization problems. Further, the so-called G-Wolfe dual problem is defined for the considered extremum problem with inequality constraints. Under WD-G-invexity assumption, the necessary and sufficient conditions for weak duality between the primal optimization problem and its G-Wolfe dual problem are also established.
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