Minimal elements for product orders
Andreas H. Hamel, Christiane Tammer · Optimization · 2008
The aim of the present article is to generalize several results of 19 Isac, G and Tammer, C. 2005. Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle. Positivity, 9: 511–539. [Crossref] , [Google Scholar] for product spaces X × V, where X is a complete metric space and V is a Banach space and to give considerably simplified proofs. Moreover, we discuss sufficient conditions for the decisive assumptions as well as an application to vector optimization problems.