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Levitin-Polyak well-posedness of constrained vector optimization problems. (English) Zbl 1149.90133

In this paper, three types of Levitin-Polyak well-posedness and generalized Levitin-Polyak well-posednesses for a general constrained vector optimization problem are introduced. Criteria and characterizations for these types of well-posednesses are given. Relations among these types of well-posedness are investigated. And the convergence of a class of penalty methods under the assumption of a type of generalized Levitin-Polyak well-posedness is considered.

MSC:

90C29 Multi-objective and goal programming
49K40 Sensitivity, stability, well-posedness
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