Levitin–Polyak well-posedness of constrained vector optimization problems |
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| Authors: | X X Huang X Q Yang |
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| Institution: | (1) School of Management, Fudan University, Shanghai, 200433, China;(2) Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong |
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| Abstract: | In this paper, we consider Levitin–Polyak type well-posedness for a general constrained vector optimization problem. We introduce
several types of (generalized) Levitin–Polyak well-posednesses. Criteria and characterizations for these types of well-posednesses
are given. Relations among these types of well-posedness are investigated. Finally, we consider convergence of a class of
penalty methods under the assumption of a type of generalized Levitin–Polyak well-posedness. |
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| Keywords: | Constrained vector optimization Minimizing sequence (generalized) Levitin– Polyak well-posedness Penalty type methods |
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