© Hindawi Publishing Corp. VARIATIONAL-LIKE INEQUALITIES FOR PSEUDOMONOTONE OPERATORS

Abstract. The aim of this note is to use a fixed point theorem to prove results for variational-like inequalities for pseudomonotone operators. 2000 Mathematics Subject Classification. 47H04, 47H10. 1. Introduction. Recently, Singh et al. [10] studied pseudomonotone operators and derived interesting results in variational inequality and complementarity problems using a recent fixed point theorem of Tarafdar [13], which is equivalent to F-KKM the-orem [13]. They derived a few interesting results as corollaries and gave an application in minimization problems. Earlier, Parida et al. [7] studied a variational-like inequal