Mathematical Methods of Operations Research

, Volume 67, Issue 3, pp 471–478

Vector Ekeland’s variational principle in an F-type topological space

Original Article

DOI: 10.1007/s00186-007-0205-6

Cite this article as:
Chen, G., Yang, X.Q. & Yu, H. Math Meth Oper Res (2008) 67: 471. doi:10.1007/s00186-007-0205-6


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.


Vector Ekeland’s Variational PrincipleF-type topological spaceCauchy sequence

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institute of Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityHong KongChina
  3. 3.School of Economics Business and AdministrationChongqing UniversityChongqingChina