A Second-Order Time-Varying Projection Neurodynamic Model for Solving Inverse Mixed Variational Inequalities and Applications

A Second-Order Time-Varying Projection Neurodynamic Model for Solving Inverse Mixed Variational Inequalities and Applications | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A Second-Order Time-Varying Projection Neurodynamic Model for Solving Inverse Mixed Variational Inequalities and Applications Vajahat Karim Khan, Md. Kalimuddin Ahmad This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8350256/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this paper, we propose a novel projection-based second-order time-varying neurodynamic system (TVNDS) to solve inverse mixed variational inequalities (IMVIs) involving two time-dependent parameters. The proposed model guarantees the existence, uniqueness, and global stability of solutions for strongly monotone and Lipschitz continuous operators. Furthermore, a discrete-time realization of the system is developed, leading to an inertial projection algorithm that achieves linear convergence under suitable parameter conditions. The stability analysis is carried out using a Lyapunov function, and at last numerical experiments demonstrate the accuracy, convergence rate, and robustness of the proposed approach in solving IMVIs and related optimization problems. MSC Classification (2020): 47J20 , 65P40 90C30 , 37C75. Pure Mathematics Second order neurodynamic system Inverse mixed variational inequalities Convergence Strong monotonicity Global stability. Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-8350256","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":559680357,"identity":"2b48bb74-64bc-4fbf-a0f0-0a4d6b8cfee9","order_by":0,"name":"Vajahat Karim Khan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1klEQVRIiWNgGAWjYDACCf6PDxJ4bBACbIS1MBgbfJBJI02LmeQMm8MkuEs+uiFNmifnfLTB8dNpEgw1dgx80g34tRjeOXDYmufM7dwNZ3K3STAcS2ZgkzlAQMuMxMbbvD1ALQdAWtgOMLBJJBDSkswgzfvvXO6G82+BWv4RoUVeIo1JcgbPgdwNN4C2MLYRocVAIofZ4ANPcu7MG283WyT2JfMQtmVGDiMwKu1y+87nbrzx4ZudnPwMQrYcgDIUQAygYh786kG2NKAzRsEoGAWjYBSgAwBGHUSIqcER1gAAAABJRU5ErkJggg==","orcid":"","institution":"Aligarh Muslim University, India","correspondingAuthor":true,"prefix":"","firstName":"Vajahat","middleName":"Karim","lastName":"Khan","suffix":""},{"id":559680441,"identity":"f5f9c085-58d6-4daf-9d79-3a9192866205","order_by":1,"name":"Md. 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