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Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order (F,α,ρ,d)-type I functions
Authors:T R Gulati  Divya Agarwal
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
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.
Keywords:
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