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<p>Existence results are given for vector quasi-equilibrium problems whose objectives are described by the sum of two set-valued trifunctions with possibly different properties. The main results are established in the framework of topological vector spaces, without monotonicity-type assumptions. As applications, we obtain existence results for optimal control problems, where the state behaviors are given by vector quasi-equilibrium problems and the vector optimality criteria are understood in the sense of Kuroiwa.</p>

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Vector Quasi-Equilibria for the Sum of Two Multivalued Trifunctions

  • 期刊论文

  • 发表日期：

    2025年1月25日

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  • Pham Huu Sach,
  • Le Anh Tuan,
  • Nguyen The Vinh

摘要

Existence results are given for vector quasi-equilibrium problems whose objectives are described by the sum of two set-valued trifunctions with possibly different properties. The main results are established in the framework of topological vector spaces, without monotonicity-type assumptions. As applications, we obtain existence results for optimal control problems, where the state behaviors are given by vector quasi-equilibrium problems and the vector optimality criteria are understood in the sense of Kuroiwa.