In this paper, a new minimization theorem is obtained for a set-valued mapping and an equivalent relation between a variant of Ekeland variational principle [T.X.D. Ha, Some variants of Ekeland variational principle for a set-valued map, J. Optim. Theory Appl. 124 (1) (2005) 187-206] and the minimization theorem is established. © 2007 Elsevier Ltd. All rights reserved.
Li, S. J., & Zhang, W. Y. (2008). A minimization theorem for a set-valued mapping. Applied Mathematics Letters, 21(8), 769–773. https://doi.org/10.1016/j.aml.2007.08.003