Applied Mathematics

Volume 2, Issue 4 (April 2011)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative

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DOI: 10.4236/am.2011.24057    7,660 Downloads   12,082 Views  Citations
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ABSTRACT

In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficient under the generalised dI-univexity requirements. Moreover, weak, strong and strict converse duality theorems are also derived for Mond-Weir type dual programs.

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Ahmad, I. (2011) Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative. Applied Mathematics, 2, 452-460. doi: 10.4236/am.2011.24057.

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