TY - JOUR
ID - 37712
TI - Vector Optimization Problems and Generalized Vector Variational-Like Inequalities
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Sadeqi, Ildar
AU - Nadi, Somayeh
AD - Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 2
SP - 69
EP - 82
KW - Nonsmooth functions
KW - Limiting subdifferential
KW - Pseudoinvex functions
KW - Vector variational-like inequalities
KW - Vector optimization problems
DO - 10.22130/scma.2018.85895.433
N2 - In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of limiting subdifferential are studied. Moreover, some relationships between the vector variational-like inequalities and vector optimization problems are established.
UR - https://scma.maragheh.ac.ir/article_37712.html
L1 - https://scma.maragheh.ac.ir/article_37712_21815133c068c44f4de658d87ac91628.pdf
ER -