TITLE:
Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative
AUTHORS:
Izhar Ahmad
KEYWORDS:
Multiobjective Programming, Nondifferentiable Programming, Generalized dI-Univexity, Sufficiency, Duality
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.4,
March
31,
2011
ABSTRACT: In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficient under the generalised dI-univexity requirements. Moreover, weak, strong and strict converse duality theorems are also derived for Mond-Weir type dual programs.