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Vector Quasi-Equilibria for the Sum of Two Multivalued Trifunctions

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  • Pham Huu Sach

    (Institute of Mathematics, Vietnam Academy of Science and Technology)

  • Le Anh Tuan

    (Nong Lam University)

  • Nguyen The Vinh

    (University of Transport and Communications)

Abstract

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.

Suggested Citation

  • Pham Huu Sach & Le Anh Tuan & Nguyen The Vinh, 2025. "Vector Quasi-Equilibria for the Sum of Two Multivalued Trifunctions," Journal of Optimization Theory and Applications, Springer, vol. 204(3), pages 1-27, March.
    • Handle: RePEc:spr:joptap:v:204:y:2025:i:3:d:10.1007_s10957-024-02585-1
    DOI: 10.1007/s10957-024-02585-1
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    References listed on IDEAS

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