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Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized univex functions |
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| Authors: | Xianjun Long |
| Affiliation: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China |
| Abstract: | In this paper, nonsmooth univex, nonsmooth quasiunivex, and nonsmooth pseudounivex functions are introduced. By utilizing these new concepts, sufficient optimality conditions for a weakly efficient solution of the nonsmooth multiobjective programming problem are established. Weak and strong duality theorems are also derived for Mond-Weir type multiobjective dual programs. |
| Keywords: | Duality multiobjective programming nonsmooth pseudounivexity nonsmooth quasiuni-vexity nonsmooth univexity sufficient optimality condition weakly efficient solution. |
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