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We consider quasi variational inequality problems in which the feasible point-to-set mapping is defined by linear coupling constraints. We provide existence conditions easy to verify in practice. We analyze inexact solutions for different reformulations based on gap functions to obtain approximate solutions for the quasi variational inequality.

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Existence and Approximation Results for Quasi Variational Inequalities with Linear Coupling Constraints

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  • 发表日期：

    2026年

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  • Lorenzo Lampariello,
  • Simone Sagratella,
  • Valerio Giuseppe Sasso

摘要

We consider quasi variational inequality problems in which the feasible point-to-set mapping is defined by linear coupling constraints. We provide existence conditions easy to verify in practice. We analyze inexact solutions for different reformulations based on gap functions to obtain approximate solutions for the quasi variational inequality.