Journal of Optimization Theory and Applications

, Volume 132, Issue 3, pp 493–507

Generalization of Ordering Principles and Applications

Article

DOI: 10.1007/s10957-007-9181-5

Cite this article as:
Zhu, J. & Li, S.J. J Optim Theory Appl (2007) 132: 493. doi:10.1007/s10957-007-9181-5

Abstract

In this paper, we prove some new ordering principles which generalize the well-known Brézis–Browder principle and uniformly generalize some results in the literature. As an application, we prove some vector Ekeland-type variational principles in F-type topological spaces and some new Mönch-type fixed-point theorems for discontinuous multivalued operators in F-type topological spaces and Banach spaces with weak topology.

Keywords

Maximal elementsEkeland variational principleFixed pointsMultivalued operators

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of MathematicsXuzhou Normal UniversityXuzhouPeople’s Republic of China
  2. 2.Institute of Mathematics, Academy of Mathematics and Systems SciencesChinese Academy of SciencesBeijingPeople’s Republic of China