On G-invexity-type nonlinear programming problems
On G-invexity-type nonlinear programming problems
In this paper, we introduce the concepts of KT -G-invexity and W D-G-invexity for theconsidered 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 nonconvexdifferentiable optimization problems. Further, the so-called G-Wolfe dual problem is defined for theconsidered extremum problem with inequality constraints. Under W D-G-invexity assumption, thenecessary and sufficient conditions for weak duality between the primal optimization problem and itsG-Wolfe dual problem are also established.
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- ISSN: 2146-0957
- Yayın Aralığı: Yılda 2 Sayı
- Yayıncı: Prof. Dr. Ramazan YAMAN