Abstract
In the context of vector optimization for functions with values in an ordered topological vector space, we give a result for the existence of global minima. Moreover, we find a set of conditions ensuring the convergence of minimal points and minimal values. More general assumptions are excluded by several counterexamples.
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The authors thank Professor F. Giannessi for useful suggestions.
Communicated by F. Giannessi
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Oppezzi, P., Rossi, A.M. Existence and Convergence of Pareto Minima. J Optim Theory Appl 128, 653–664 (2006). https://doi.org/10.1007/s10957-006-9038-3
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DOI: https://doi.org/10.1007/s10957-006-9038-3