publication . Article . 1999

A study of variational inequalities for set-valued mappings

Kok-Keong Tan; Enayet U Tarafdar; George Xian-Zhi Yuan;
Open Access
  • Published: 01 Jan 1999 Journal: Journal of Inequalities and Applications, volume 1,999, page 979,437 (issn: 1029-242X, Copyright policy)
  • Publisher: Springer Nature
Abstract
<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>
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Subjects
free text keywords: Monotone pair, Simultaneous variational inequality, KKM mapping principle, Fan&#8211;Glicksberg fixed point theorem, Implicit quasi-variational inequality, Discrete mathematics, Mathematics, Variational inequality, Algebra, lcsh:Mathematics, lcsh:QA1-939
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