Lower semicontinuity for parametric set-valued vector equilibrium-like problems

Document Type : Research Paper


School of Mathematics and Statistics, Southwest University


A concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎
‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎
‎the parametric‎
‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎
‎constraint set $K$ and a set-valued mapping $H$ are perturbed by‎
‎different parameters‎.


Main Subjects