Second order symmetric duality in multiobjective programming |
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| Affiliation: | 1. Department of Mathematics, Miranda House, University of Delhi, New Delhi-110 007, India;2. Department of Mathematics, Rajdhani College, University of Delhi, Raja Garden, New Delhi-110 015, India;3. Department of Mathematics, Daulat Ram College, University of Delhi, New Delhi-110 007, India;1. Guru Nanak Eye Centre, Department of Ophthalmology, Maulana Azad Medical College, New Delhi, India;2. Department of Microbiology, Maulana Azad Medical College, New Delhi, India;1. Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, 58429-970, Campina Grande - PB, Brazil;2. Department of Basic Teaching, Institute of Electrical & Electronic Engineering, University of Boumerdes, Boumerdes, 35000, Algeria |
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| Abstract: | A pair of Mond–Weir type multiobjective second order symmetric dual programs are formulated without non-negativity constraints. Weak duality, strong duality and converse duality theorems are established under η-bonvexity and η-pseudobonvexity assumptions. A second order self-duality theorem is given by assuming the functions involved to be skew-symmetric. |
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