Existence of solutions of a generalized bifunction-set optimization problem
Lê Anh Tuấn, Phạm Hữu Sách · Journal of Industrial and Management Optimization · 2022
An existence result is established for a generalized bifunction-set optimization problem, under some verifiable assumptions. Its proof is based on a Browder fixed point theorem and the KKMFan-Lemma. As applications of the main result of this paper, we obtain new existence results for some generalized versions of Kuroiwa set optimization problems and strong vector quasiequilibrium problems. Examples are provided. One of them is a non-cooperative generalized game with utility multifunctions.