Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions

被引：0
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作者：
RaviP Agarwal
I Ahmad
Z Husain
A Jayswal
机构：
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[2] Florida Institute of Techynology,Department of Mathematical Sciences
[3] Aligarh Muslim University,Department of Mathematics
[4] Faculty of Applied Sciences,Department of Mathematics
[5] Integral University,Department of Applied Mathematics
[6] Birla Institute of Technology,undefined
来源：
Journal of Inequalities and Applications | / 2010卷
关键词：
Programming Problem; Multiobjective Optimization; Efficient Solution; Feasible Point; Duality Theorem;
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摘要：
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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