Bednarczuk, Ewa M.; Przybyła, Maciej J. The vector-valued variational principle in Banach spaces ordered by cones with nonempty interiors. (English) Zbl 1144.58012 SIAM J. Optim. 18, No. 3, 907-913 (2007). Summary: We prove sharpness of efficient solutions \(x_k\) to vector optimization problems resulting from Ekeland vector variational principles. We achieve this by sharpening some of the existing vector variational principles and showing that \(x_k\) remains efficient not only for perturbations in the direction \(k\) but also for other directions of perturbations. Cited in 16 Documents MSC: 58E30 Variational principles in infinite-dimensional spaces 58E17 Multiobjective variational problems, Pareto optimality, applications to economics, etc. 65K10 Numerical optimization and variational techniques Keywords:vector-valued variational principle; Bishop-Phelps cone; sharp solutions PDFBibTeX XMLCite \textit{E. M. Bednarczuk} and \textit{M. J. Przybyła}, SIAM J. Optim. 18, No. 3, 907--913 (2007; Zbl 1144.58012) Full Text: DOI