(Φ1, Φ2) Optimality And Duality Under Differentiablity
Rita Pini, Chanchal Singh · Optimization · 1997
(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