Article ID: | iaor20084142 |
Country: | Netherlands |
Volume: | 173 |
Issue: | 1 |
Start Page Number: | 47 |
End Page Number: | 58 |
Publication Date: | Aug 2006 |
Journal: | European Journal of Operational Research |
Authors: | Stancu-Minasian I.M. |
A nonlinear programming problem is considered where the functions involved are η-semidifferentiable. Fritz John and Karush–Kuhn–Tucker type necessary optimality conditions are obtained. Moreover, a result concerning sufficiency of optimality conditions is given. Wolfe and Mond–Weir type duality results are formulated in terms of η-semidifferentials. The duality results are given using concepts of generalized semilocally B-preinvex functions.