Mathematical Programming Involving (α, ρ)-right upper-Dini-derivative Functions

نویسندگان

  • Dehui Yuan
  • Xiaoling Liu
چکیده

In this paper, we give some new generalized convexities with the tool–right upper-Diniderivative which is an extension of directional derivative. Next, we establish not only Karush-KuhnTucker necessary but also sufficient optimality conditions for mathematical programming involving new generalized convex functions. In the end, weak, strong and converse duality results are proved to relate weak Pareto (efficient) solutions of the multi-objective programming problems (VP), (MVD) and (MWD).

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تاریخ انتشار 2013