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On Multiobjective Mathematical Programming Problems with Equilibrium Constraints |
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PP: 17-25 |
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doi:10.18576/amisl/070103
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Author(s) |
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Kunwar V. K. Singh,
S. K. Mishra,
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Abstract |
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| In this paper, we consider a multiobjective mathematical programming problem with equilibrium constraints. We define the
generalized Guignard constraint qualification for a multiobjective mathematical programming problem with equilibrium constraints.
We derive the Karush-Kuhn-Tucker type necessary optimality conditions for multiobjective mathematical programming problem with
equilibrium constraints and also derive sufficient optimality conditions for multiobjective mathematical programming problem with
equilibrium constraints under assumptions of pseudoconvexity and quasiconvexity. Further, we formulate Wolfe type dual as well as
Mond-Weir type dual models and establish weak and strong duality theorems under pseudoconvexity and quasiconvexity assumptions. |
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