Title

Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces

Authors

Ravi P. Agarwal
Yeolje Cho
Narin Petrot

Document Type

Article

Publication Title

Fixed Point Theory and Applications

Abstract

In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied. To overcome the difficulties, due to the presence of a proper convex lower semi-continuous function, φ and a mapping g, which appeared in the considered problem, we have used some applications of the resolvent operator technique. We would like to point out that although many authors have proved results for finding solutions of the systems of nonlinear set-valued (mixed) variational inequalities problems, it is clear that it cannot be directly applied to the problems that we have considered in this paper because of φ and g. © 2011 Agarwal et al; licensee Springer.

DOI

10.1186/1687-1812-2011-31

Publication Date

8-11-2011

Recommended Citation

Agarwal, R.P., Cho, Y.J.E., Petrot, N. Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces (2011) Fixed Point Theory and Applications, 2011, art. no. 31,