Regularization Techniques for Nonlinear Variational Inequalities

Abstract

Nonlinear Variational Inequalities (NVI) pose a challenging class of mathematical problems with numerous applications in various fields, including optimization, physics, and economics. Regularization techniques have emerged as valuable tools for addressing NVIs by transforming them into more tractable forms. This article provides an in-depth exploration of regularization techniques applied to NVIs, discussing their mathematical foundations, solution methods, and practical applications. We highlight the significance of regularization in handling nonlinearity and constraint violations while showcasing its utility in solving complex real-world problems.