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Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions
Journal of Inequalities and Applications volume 2010, Article number: 898626 (2010)
Abstract
A new class of generalized V-type I invex functions is introduced for nonsmooth multiobjective programming problem. Based upon these generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution. Weak, strong, and strict converse duality theorems are proved for Mond-Weir type dual program in order to relate the weakly efficient solutions of primal and dual programs.
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Agarwal, R., Ahmad, I., Husain, Z. et al. Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions. J Inequal Appl 2010, 898626 (2010). https://doi.org/10.1155/2010/898626
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DOI: https://doi.org/10.1155/2010/898626