TY - JOUR
ID - 1065
TI - Hölder continuity of solution maps to a parametric weak vector equilibrium problem
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Preechasilp, P.
AU - wangkeeree, R.
AD - Program in Mathematics, Pibulsongkram Rajabhat University, Phitsanulok, Thailand.
AD - Department of Mathematics,Naresuan University, Phitsanulok, Thailand.
Y1 - 2017
PY - 2017
VL - 43
IS - 6
SP - 1751
EP - 1767
KW - Vector equilibrium problem
KW - solution mapping
KW - Hölder continuity
KW - linear scalarization
DO -
N2 - In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.
UR - http://bims.iranjournals.ir/article_1065.html
L1 - http://bims.iranjournals.ir/article_1065_2e8c10b5f887027ce679d1615238281e.pdf
ER -