Optimality conditions for minimizing the difference of nonconvex vector-valued mappings |
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| Authors: | X J Long N J Huang |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, People’s Republic of China
2. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, People’s Republic of China
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| Abstract: | In this paper, we consider vector optimization problems involving the difference of nonconvex vector-valued mappings. By a nonconvex scalarization function, we establish necessary optimality conditions in terms of the Mordukhovich subdifferential, strong subdifferential and Ioffe subdifferential without any convexity assumption. As an application, we discuss the optimality condition on a nonconvex multiobjective fractional programming problem. |
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