TY - JOUR
T1 - On projected solutions for quasi equilibrium problems with non-self constraint map
AU - Bianchi, Monica
AU - Miglierina, Enrico
AU - Ramazannejad, Maede
PY - 2025
Y1 - 2025
N2 - In a normed space setting, this paper studies the conditions under which the projected solutions to a quasi equilibrium problem with non-self constraint map exist. Our approach is based on an iterative algorithm which gives rise to a sequence such that, under the assumption of asymptotic regularity, its limit points are projected solutions. Finally, as a particular case, we discuss the existence of projected solutions to a quasi variational inequality problem.
AB - In a normed space setting, this paper studies the conditions under which the projected solutions to a quasi equilibrium problem with non-self constraint map exist. Our approach is based on an iterative algorithm which gives rise to a sequence such that, under the assumption of asymptotic regularity, its limit points are projected solutions. Finally, as a particular case, we discuss the existence of projected solutions to a quasi variational inequality problem.
KW - Projected solutions
KW - quasi equilibrium problem
KW - Brezis pseudomonotonicity
KW - non-self constraint map
KW - quasi variational inequality
KW - Projected solutions
KW - quasi equilibrium problem
KW - Brezis pseudomonotonicity
KW - non-self constraint map
KW - quasi variational inequality
UR - http://hdl.handle.net/10807/310216
U2 - 10.1080/02331934.2025.2478511
DO - 10.1080/02331934.2025.2478511
M3 - Article
SN - 0233-1934
VL - 2025
SP - N/A-N/A
JO - Optimization
JF - Optimization
ER -