Abstract
In this paper we study the existence of projected solutions for a class of generalized quasivariational inequalities in Banach spaces. Generalized quasivariational inequalities are defined by a principal operator and a constrained set determined by a multivalued map. We obtain existence results without assuming that either the constraint multimap or the principal operator are compact. We present two types of existence results: one is obtained considering the principal operator of class S+ and in the other we assume that the constrained multivalued map is condensing. Furthermore, for both these types of results, first the upper semicontinuity associated to pseudomonotonicity on the principal operator are required, then much weaker hypotheses of regularity and monotonicity, such us the upper sign continuity and the properly quasimonotonicity, are taken into account.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Communications in Nonlinear Science and Numerical Simulation
Disclaimer: 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.