Duality in multiobjective nonlinear programming involving semilocally convex and related functions |
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| Institution: | 1. Department of Electrical Engineering, Kish International Branch, Islamic Azad University (IAU), Kish Island, Iran;2. Faculty of Electrical Engineering, Shahid Beheshti University, Evin, Tehran, Iran;3. Department of Electrical Engineering, South Tehran Branch, Islamic Azad University (IAU), Tehran, Iran |
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| Abstract: | Necessary optimality conditions are established for a multiobjective nonlinear programming problem involving semilocally convex and related functions in terms of their right differentials. Wolfe type and Mond-Weir type duals are formulated and duality results are proved under the assumptions of semilocal convexity, semilocal quasiconvexity and semilocal pseudoconvexity. |
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