Some nondifferentiable multiobjective programming under generalized d-V-type-I univexity |
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Authors: | Anurag Jayswal Rajnish Kumar |
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Institution: | Department of Applied Mathematics, Birla Institute of Technology, Extension Centre, Patna-800014, Bihar, India |
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Abstract: | In this paper, we introduce new classes of functions called d-V-type-I univex by extending the definition of d-V-type-I functions and consider a multiobjective optimization problem involving generalized d-V-type-I univex functions. A number of Karush–Kuhn–Tucker-type sufficient optimality conditions are obtained for a feasible solution to be a weak Pareto efficient solution. The Mond–Weir-type duality results are also presented. The results obtained in this paper generalize and extend the previously known result in this area. |
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Keywords: | 29A51 49J35 90C32 |
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