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KKM Type Theorems and Coincidence Theorems with Applications to the Existence of Equilibria

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  • L. J. Lin

    (National Changhua University of Education)

  • W. P. Wan

    (National Changhua University of Education)

Abstract

In this paper, we obtain some coincidence theorems and some KKM-type theorems. We apply these results to establish the existence of the solution to generalized vector equilibrium problems, where a bimap f : X × Y → 2Z is involved and some sufficient conditions are imposed on f.

Suggested Citation

  • L. J. Lin & W. P. Wan, 2004. "KKM Type Theorems and Coincidence Theorems with Applications to the Existence of Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 123(1), pages 105-122, October.
    • Handle: RePEc:spr:joptap:v:123:y:2004:i:1:d:10.1023_b:jota.0000043993.76191.58
    DOI: 10.1023/B:JOTA.0000043993.76191.58
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    References listed on IDEAS

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    1. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(5), pages 777-788, October.
    2. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(1), pages 151-160, February.
    3. L.J. Lin & Q.H. Ansari & J.Y. Wu, 2003. "Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 121-137, April.
    4. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(4), pages 629-637, August.
    5. M. Bianchi & R. Pini, 2002. "A Result on Localization of Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 115(2), pages 335-343, November.
    6. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(3), pages 427-432, June.
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    Cited by:

    1. Mircea Balaj, 2011. "Alternative principles and their applications," Journal of Global Optimization, Springer, vol. 50(3), pages 537-547, July.
    2. P. H. Sach & L. J. Lin & L. A. Tuan, 2010. "Generalized Vector Quasivariational Inclusion Problems with Moving Cones," Journal of Optimization Theory and Applications, Springer, vol. 147(3), pages 607-620, December.
    3. P. Q. Khanh & N. H. Quan, 2010. "Existence Results for General Inclusions Using Generalized KKM Theorems with Applications to Minimax Problems," Journal of Optimization Theory and Applications, Springer, vol. 146(3), pages 640-653, September.
    4. M. Fakhar & M. Lotfipour & J. Zafarani, 2013. "On the Brézis Nirenberg Stampacchia-type theorems and their applications," Journal of Global Optimization, Springer, vol. 55(4), pages 751-770, April.

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