and

Abstract. In this paper, we prove the existence of solutions to the variational and variational-like inequalities for pseudomonotone and pseudodissipative and, η-pseudomonotone and η-pseudodissipative operators, respectively. As applications of our results, we prove the existence of a unique solution of nonlinear equations, fixed point problems and eigenvalue problems. 1991 Mathematics Subject Classification. 49J40, 47H10, 47H19, 47H05 1