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Mixed variational inequalities and economic equilibrium problems

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  • I. V. Konnov
  • E. O. Volotskaya

Abstract

We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P -type assumptions on the cost mapping. They enable us to establish new results for the economic equilibrium problems under consideration.

Suggested Citation

  • I. V. Konnov & E. O. Volotskaya, 2002. "Mixed variational inequalities and economic equilibrium problems," Journal of Applied Mathematics, Hindawi, vol. 2, pages 1-26, January.
    • Handle: RePEc:hin:jnljam:734309
    DOI: 10.1155/S1110757X02106012
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    Cited by:

    1. D. Goeleven, 2008. "Existence and Uniqueness for a Linear Mixed Variational Inequality Arising in Electrical Circuits with Transistors," Journal of Optimization Theory and Applications, Springer, vol. 138(3), pages 397-406, September.
    2. Jolaoso, Lateef O. & Shehu, Yekini & Yao, Jen-Chih, 2022. "Inertial extragradient type method for mixed variational inequalities without monotonicity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 353-369.

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