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Title: First and Second-Order Optimality Condition for Multi-Objective Fraction Programming
Authors: Lê, Thanh Tùng
Phan, Quốc Khánh
Keywords: Multiobjective fractional programming
First and second-order approximations
Weak solutions
Firm solutions
Optimality conditions
Asymptotical pointwise compactness
Issue Date: 2014
Series/Report no.: Top;23 .- p.419–440
Abstract: We consider nonsmooth multiobjective fractional programming on normed spaces. Using first- and second-order approximations as generalized derivatives, first- and second-order optimality conditions are established. Unlike the existing results, we avoid completely convexity assumptions. Our results can be applied even in infinite-dimensional cases, involving non-Lipschitz maps.
URI: http://localhost:8080//jspui/handle/123456789/5066
Appears in Collections:Tạp chí quốc tế

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