Stability for trust-region methods via generalized differentiation |
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Authors: | Nguyen Thanh Qui |
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Institution: | 1. College of Information and Communication Technology, Can Tho University, 1 Ly Tu Trong, Can Tho, Vietnam
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Abstract: | We obtain necessary and sufficient conditions for local Lipschitz-like property and sufficient conditions for local metric regularity in Robinson’s sense of Karush–Kuhn–Tucker point set maps of trust-region subproblems in trust-region methods. The main tools being used in our investigation are dual criteria for fundamental properties of implicit multifunctions which are established on the basis of generalized differentiation of normal cone mappings. |
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