(Φ1, Φ2)-convexity is applied to develop optimality conditions of Fritz John type and Kuhn-Tucker type under differentiability for a minimization problem with real valued objective and inequality constraints. A dual of the Mond-Weir type is considered and a number of weak and strong duality results are established. Weak and strong duality theorems are also given in the framework of Wolfe duality.
Pini, R., Singh, C. (1997). (F1-F2) optimality and duality under differentiability. OPTIMIZATION, 41(2), 101-116 [10.1080/02331939708844329].
(F1-F2) optimality and duality under differentiability
PINI, RITA;
1997
Abstract
(Φ1, Φ2)-convexity is applied to develop optimality conditions of Fritz John type and Kuhn-Tucker type under differentiability for a minimization problem with real valued objective and inequality constraints. A dual of the Mond-Weir type is considered and a number of weak and strong duality results are established. Weak and strong duality theorems are also given in the framework of Wolfe duality.
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