Higher-Order Duality in Nondifferentiable Multiobjective Programming |
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| Authors: | I. Ahmad Z. Husain Sarita Sharma |
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| Affiliation: | 1. Department of Mathematics , Aligarh Muslim University , Aligarh, India izharamu@hotmail.com;3. Department of Mathematics , Aligarh Muslim University , Aligarh, India |
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| Abstract: | A new generalized class of higher-order (F, α, ρ, d)–type I functions is introduced, and a general Mond–Weir type higher-order dual is formulated for a nondifferentiable multiobjective programming problem. Based on the concepts introduced, various higher-order duality results are established. At the end, some special cases are also discussed. |
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| Keywords: | Higher-order duality Higher-order generalized type I functions Multiobjective programming Properly efficient solutions |
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