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Fixed Point And Surjectivity Theorems For Correspondences And Applications

Author

Listed:
  • Bernard Cornet

    (Department of Economics, University of Kansas, Lawrence, KS 66045, USA)

Abstract

This paper investigates several existence theorems that are central to mathematical economics and game theory, with a special emphasis on infinite-dimensional settings. By synthesizing different related formulations, including the existence of equilibria, fixed-point/coincidence theorems, surjectivity theorems, variational inequalities and Gale-Nikaido-Debreu generalizations, we aim to provide a unifying perspective across varied mathematical landscapes.

Suggested Citation

  • Bernard Cornet, 2026. "Fixed Point And Surjectivity Theorems For Correspondences And Applications," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202607, University of Kansas, Department of Economics.
    • Handle: RePEc:kan:wpaper:202607
    as

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    File URL: https://kuwpaper.ku.edu/2026Papers/202607.pdf
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    References listed on IDEAS

    as
    1. Bernard Cornet, 2020. "The Gale–Nikaido–Debreu lemma with discontinuous excess demand," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 169-180, October.
    2. M. Ali Khan & Richard P. McLean & Metin Uyanik, 2025. "Excess demand approach with non-convexity and discontinuity: a generalization of the Gale–Nikaido–Kuhn–Debreu lemma," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(4), pages 1167-1190, June.
    3. Aliprantis, Charalambos D. & Brown, Donald J., 1983. "Equilibria in markets with a Riesz space of commodities," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 189-207, April.
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