The aim of this work is to analyze lexicographic equilibrium problems on a topological Hausdorff vector space X, and their relationship with some other vector equilibrium problems. Existence results for the tangled lexicographic problem are proved via the study of a related sequential problem. This approach was already followed by the same authors in the case of variational inequalities.
Bianchi, M., Pini, R., Konnov, I., Lexicographic and sequential equilibrium problems, <<JOURNAL OF GLOBAL OPTIMIZATION>>, 2010; Vol. 46 (4): 551-560. [doi:10.1007/s10898-009-9439-6] [http://hdl.handle.net/10807/22118]
Lexicographic and sequential equilibrium problems
Bianchi, Monica;Pini, Rita;
2010
Abstract
The aim of this work is to analyze lexicographic equilibrium problems on a topological Hausdorff vector space X, and their relationship with some other vector equilibrium problems. Existence results for the tangled lexicographic problem are proved via the study of a related sequential problem. This approach was already followed by the same authors in the case of variational inequalities.
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