In this paper, we first give a vector-valued version of Brézis and Browder's scalar general principle. We then apply the vector-valued general principle to study a vector Ekeland's variational principle in a F-type topological space, which unifies and improves the corresponding vector-valued Ekeland's variational results in complete metric space.
- Cauchy sequence
- F-type topological space
- Vector Ekeland's Variational Principle
ASJC Scopus subject areas
- Management Science and Operations Research