Abstract
In this paper we investigate two generalizations of the Pareto minimality concept: infimality and approximate minimality. It is shown that existence conditions for these optimality notions are much weaker and that they allow a more complete characterization via linear and nonlinear scalarization than Pareto minimality. We further study some relations between those optimality structures and apply the results to the image of a vector-valued mapping.
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Communicated by P. L. Yu
The author is indebted to Professor J. Jahn for his encouragement and for helpful discussions, and to the anonymous referees for their suggestions.
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Staib, T. On two generalizations of Pareto minimality. J Optim Theory Appl 59, 289–306 (1988). https://doi.org/10.1007/BF00938314
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DOI: https://doi.org/10.1007/BF00938314