Abstract
The aim of this paper is to establish some new results on the Levitin–Polyak well-posedness (in short, LP well-posedness) to a new class of the controlled systems of fuzzy mixed quasi-hemivariational inequalities of the Minty type (in short, FMQHI). First, we introduce a new class of the controlled systems for FMQHI. Then, we show, under suitable conditions, the equivalence between the LP well-posedness and existence of solution to this problem. Further, results on metric characterization of the LP well-posedness and the LP well-posedness in the generalized sense for such problem in terms of the behavior of the approximate solution set are provided. Finally, we introduce a new class of the gap function for controlled systems of FMQHI and use it to study criterion of the LP well-posedness for controlled systems of FMQHI. The results presented in the paper are new.
Sign-in/Register to access full text options 
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.
