Ekeland's principle for vector equilibrium problem

Monica Bianchi, Rita Pini, G. Kassay, R. Pini

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The aim is to provide a vector version of Ekeland’s theorem related to equilibrium problems. To prove this principle, a weak notion of continuity of a vectorvalued function is considered, and some of its properties are presented. Via the vector Ekeland’s principle, existence results for vector equilibria are proved in both compact and noncompact domains.
Original languageEnglish
Pages (from-to)1454-1464
Number of pages11
Publication statusPublished - 2007


  • Ekeland's principle
  • quasi lower semicontinuity
  • vector equilibrium problem


Dive into the research topics of 'Ekeland's principle for vector equilibrium problem'. Together they form a unique fingerprint.

Cite this