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Vector Equilibrium Problems—A Unified Approach and Applications

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  • Cristina Stamate

    (“Octav Mayer” Institute of Mathematics, Romanian Academy, Iaşi Branch, Bd. Carol I, No. 11, 700506 Iaşi, Romania)

Abstract

We present existing results and properties for the solutions of some vector equilibrium problems with set-valued functions in the case of a vector space ordered by a cone with some “interiority” properties. Some applications concerning the existence of equilibrium for abstract economies and vector optimization problems are given.

Suggested Citation

  • Cristina Stamate, 2024. "Vector Equilibrium Problems—A Unified Approach and Applications," Mathematics, MDPI, vol. 12(10), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1448-:d:1390383
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    References listed on IDEAS

    as
    1. Rustichini, Aldo & Yannelis, Nicholas C., 1991. "Edgeworth's conjecture in economies with a continuum of agents and commodities," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 307-326.
    2. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    3. Boualem Alleche & Vicenţiu D. Rădulescu, 2017. "Further on Set-Valued Equilibrium Problems and Applications to Browder Variational Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 175(1), pages 39-58, October.
    4. N. X. Hai & P. Q. Khanh, 2007. "Existence of Solutions to General Quasiequilibrium Problems and Applications," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 317-327, June.
    5. Tian, Guoqiang, 1990. "Equilibrium in abstract economies with a non-compact infinite dimensional strategy space, an infinite number of agents and without ordered preferences," Economics Letters, Elsevier, vol. 33(3), pages 203-206, July.
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