Optimality and duality in constrained interval-valued optimization |
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| Authors: | Do Van Luu Tran Thi Mai |
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| Institution: | 1.TIMAS,Thang Long University,Hanoi,Vietnam;2.Institute of Mathematics,Vietnam Academy of Science and Technology,Hanoi,Vietnam;3.Thai Nguyen University of Economics and Business Administration,Thai Nguyen,Vietnam |
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| Abstract: | Fritz John and Karush–Kuhn–Tucker necessary conditions for local LU-optimal solutions of the constrained interval-valued optimization problems involving inequality, equality and set constraints in Banach spaces in terms of convexificators are established. Under suitable assumptions on the generalized convexity of objective and constraint functions, sufficient conditions for LU-optimal solutions are given. The dual problems of Mond–Weir and Wolfe types are studied together with weak and strong duality theorems for them. |
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