| Lucas Fresse† Viorica V. Motreanu‡
Abstract: We establish a generalization of Ekeland’s variational principle for submonotone maps defined on a preordered pseudometric space and with values in a preordered monoid. The proof relies on an ordering principle for more general preordered sets. Keywords: preordered pseudometric space, preordered monoid, ordering principle, submonotone map, variational principle. MSC: 58E30, 06A75, 49J52. DOI 10.56082/annalsarscimath.2026.1.133 †lucas.fresse@univ-lorraine.fr, Université de Lorraine, Institut Élie Cartan, 54506 Vandœuvre-lès-Nancy, France |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
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