On the generalized monotonicity of variational inequalities
In this paper, three new classes of generalized monotone operators are introduced: the relaxed mu pseudomonotone operator, relaxed mu quasimonotone operator and densely relaxed pseudomonotone operator. The relations between these three classes and the relations between them and some other well known classes of generalized monotone operators are discussed in detail. Various existence results for variational inequalities in normed spaces are derived. The results generalize some known results. (c) 2007 Elsevier Ltd. All rights reserved.
variational inequality relaxed mu pseudomonotone relaxed mu quasimonotone existence result densely relaxed mu pseudomonotone