We give a natural Ky Fan minimax inequality version of set-valued maps, and we deal with a type of vector equilibrium problem for set-valued mappings on a special dense set not on the whole domain. We use these results as applications to study the solutions of a generalized set-valued vector variational inequality.
"Ky Fan minimax inequalities for set-valued mappings on dense sets." Ann. Funct. Anal. 10 (4) 496 - 508, November 2019. https://doi.org/10.1215/20088752-2019-0008