A study of variational inequalities for set-valued mappings

oleh: Tarafdar Enayet, Yuan George Xian-Zhi, Tan Kok-Keong

Format: Article
Diterbitkan: SpringerOpen 1999-01-01

Deskripsi

<p/> <p>In this paper, Ky Fan's KKM mapping principle is used to establish the existence of solutions for simultaneous variational inequalities. By applying our earlier results together with Fan&#8211;Glicksberg fixed point theorem, we prove some existence results for implicit variational inequalities and implicit quasi-variational inequalities for set-valued mappings which are either monotone or upper semi-continuous.</p>