| Nondifferentiable Multiobjective Programming under Generalized $d$-$\rho$-$(\eta,\theta)$-Type I Univexity |
| Received:November 30, 2009 Revised:April 26, 2010 |
| Key Words:
multiobjective programming generalized $d$-$\rho$-$(\eta,\theta)$-type I univexity duality optimality.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.60674108) and the Fundamental Research Funds for the Central Universities (Grant Nos.K50510700004; JY10000970006). |
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| Abstract: |
| In this paper, on the basis of notions of $d$-$\rho$-$(\eta,\theta)$-invex function, type I function and univex function, we present new classes of generalized $d$-$\rho$-$(\eta,\theta)$-type I univex functions. By using these new concepts, we obtain several sufficient optimality conditions for a feasible solution to be an efficient solution, and derive some Mond-Weir type duality results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.04.010 |
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