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., Konnov, I., Pini, R. (2010). Lexicographic and sequential equilibrium problems. JOURNAL OF GLOBAL OPTIMIZATION, 46(4), 551-560 [10.1007/s10898-009-9439-6].
Lexicographic and sequential equilibrium problems
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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