Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order (F,α,ρ,d)-type I functions |
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Authors: | T R Gulati Divya Agarwal |
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Institution: | 1. Department of Mathematics, Indian Institute of Technology, Roorkee, 247 667, India 2. Department of Applies Sciences and Humanities, Institute of Technology and Management, Sector 23-A, Gurgaon, India
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Abstract: | In this paper, a nondifferentiable multiobjective programming problem is considered where every component of objective and constraint functions contain a term involving the support function of a compact convex set. A new class of higher order (F,α,ρ,d)-type I function is introduced. Necessary optimality conditions and the duality theorems for Wolfe and unified higher order dual problems are established. Several known results can be deduced as special cases. |
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