TY - JOUR
T1 - Ekeland's principle for vector equilibrium problem
AU - Bianchi, Monica
AU - Pini, Rita
AU - Kassay, G.
AU - Pini, R.
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
KW - Ekeland's principle
KW - quasi lower semicontinuity
KW - vector equilibrium problem
KW - Ekeland's principle
KW - quasi lower semicontinuity
KW - vector equilibrium problem
UR - http://hdl.handle.net/10807/35737
U2 - 10.1016/j.na.2006.02.003
DO - 10.1016/j.na.2006.02.003
M3 - Article
VL - 2007
SP - 1454
EP - 1464
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
ER -