Abstract
This paper is mainly devoted to the existence of solutions of generalized mixed variational inequalities (GMVI for short) with perturbation in reflexive Banach spaces. When the constraint set is weakly compact, we deduce two existence theorems for GMVI. Based on these two existence theorems, when the constraint set is unbounded, we obtain some existence theorems for GMVI perturbed by a nonlinear continuous mapping in finite dimensional spaces (resp. a multiplication of a scalar and a vector taken from the interior of the barrier cone of the constraint set in reflexive Banach spaces). The main results presented in this paper generalize some corresponding known results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
