Solution existence of variational inequalities with pseudomonotone operators in the sense of Brézis
نویسندگان
چکیده
This paper is concerned with the study of solution existence of variational inequalities and generalized variational inequalities in reflexive Banach spaces with pseudomonotone operators in the sense of H. Brézis. The obtained results covers some preceding results in [4], [11] and [14].
منابع مشابه
ψ-pseudomonotone generalized strong vector variational inequalities with application
In this paper, we establish an existence result of the solution for an generalized strong vector variational inequality already considered in the literature and as applications we obtain a new coincidence point theorem in Hilbert spaces.
متن کاملOn the Vector Variational-like Inequalities with Relaxed η-α Pseudomonotone Mappings
In this paper we introduce some new conditions of the solu- tions existence for variational-like inequalities with relaxed &eta-&alpha pseu- domonotone mappings in Banach spaces. The advantage of these new conditions is that they are easier to be veried than those that appear in some of the previous corresponding articles.
متن کاملThe System of Vector Variational-like Inequalities with Weakly Relaxed ${eta_gamma-alpha_gamma}_{gamma inGamma}$ Pseudomonotone Mappings in Banach Spaces
In this paper, we introduce two concepts of weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in Banach spaces. Then we obtain some results of the solutions existence for a system of vector variational-like inequalities with weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in reflexive...
متن کاملRelatively B-pseudomonotone Variational Inequalities over Product of Sets
In this paper, we consider variational inequality problem over the product of sets which is equivalent to the problem of system of variational inequalities. These two problems are studied for single valued maps as well as for multivalued maps. New concept of pseudomonotonicity in the sense of Brézis is introduced to prove the existence of a solution of our problems. As an application of our res...
متن کاملNonlinear Variational Inequalities for Pseudomonotone Operators with Applications∗
In this paper, we prove the existence of solutions to the variational and variational-like inequalities for pseudomonotone and pseudodissipative and, ηpseudomonotone 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 Classificat...
متن کامل