On G-invexity-type nonlinear programming problems
2015 ◽
Vol 5
(1)
◽
pp. 13-20
Keyword(s):
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.
2021 ◽
Vol 62
◽
pp. 53-66
1972 ◽
Vol 4
(01)
◽
pp. 151-176
◽