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An approach to well-posedness in vector optimization: Consequences to stability. (English) Zbl 0811.90092
Several definitions of well-posedness for vector optimization problems in topological vector spaces are proposed. In this paper the author defines well-posedness in vector optimization via $\epsilon$-minimal solutions. This can be viewed as a generalization of the ideas from scalar optimization. The definitions, which have been introduced, are analysed mainly from the point of view of their usefulness in establishing stability under perturbations of solutions to vector optimization problems.
##### MSC:
 90C29 Multi-objective programming; goal programming