01.06.2015 | Original Research | Ausgabe 1-2/2015
Higher-order symmetric duality with higher-order generalized invexity
- Zeitschrift:
- Journal of Applied Mathematics and Computing > Ausgabe 1-2/2015
Abstract
Two different pairs of higher-order symmetric dual programs such as Wolfe type and Mond–Weir type are studied. The weak, strong and converse duality theorems are established for the higher-order symmetric dual programs under higher-order \(\rho -(\eta ,\theta )-\)invexity and \(\rho -(\eta ,\theta )-\)pseudo-invexity assumptions. Many examples and counterexamples are illustrated to justify our work. We also observe that several known results are obtained as special cases.
