We derive a minimal point theorem for a subset in a cone in product spaces under a weak assumption concerning the boundedness of the considered set . Using this result we improve two vectorial variants of Ekeland’s variational principle. Finally, a new characterization of well-based cones is given.
Cite this article
Alfred Göpfert, Chr. Tammer, C. Zălinescu, A New Minimal Point Theorem in Product Spaces. Z. Anal. Anwend. 18 (1999), no. 3, pp. 767–770DOI 10.4171/ZAA/911