RT info:eu-repo/semantics/article
T1 Ekeland variational principles for vector equilibrium problems
A1 Bao, T. Q.
A1 Gutiérrez, C.
K1 Ekeland variational principle
K1 Equilibrium problem
K1 Strictly decreasingly lower-semicontinuity
K1 Cyclically antimonotone bifunction
K1 Triangle inequality property
AB This work concerns Ekeland variational principles for scalar and vector cyclically antimonotone bifunctions on complete metric spaces. The scalar results work for extended bifunctions and they are obtained by a generalized version of the Dancs-Hegedüs-Medvegyev’s fixed point theorem. As a result, weaker lower-semicontinuity assumptions have been considered, that generalize the concept of strictly decreasingly lower-semicontinuous real-valued function. The vector results are derived from the previous ones by a scalarization approach and are based on new notions of cyclical antimonotonicity, lower boundedness and strictly decreasingly lower-semicontinuity for vector bifunctions. Several results in the literature are improved since they are stated by weaker assumptions
PB Taylor & Francis
SN 0233-1934
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/74158
UL https://uvadoc.uva.es/handle/10324/74158
LA eng
NO Optimization, 2024, vol. 73, n. 1 p. 29-62
NO Producción Científica
DS UVaDOC
RD 22-ene-2025