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Noncompact Equilibrium Points for Set‐Valued Maps

Author

Listed:
  • Souhail Chebbi
  • Bessem Samet

Abstract

We prove a generalized result on the existence of equilibria for a monotone set‐valued map defined on noncompact domain and take its values in an order of topological vector space. As consequence, we give a new variational inequality.

Suggested Citation

  • Souhail Chebbi & Bessem Samet, 2014. "Noncompact Equilibrium Points for Set‐Valued Maps," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:959612
    DOI: 10.1155/2014/959612
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    References listed on IDEAS

    as
    1. Werner Oettli & Dirk Schläger, 1998. "Existence of equilibria for monotone multivalued mappings," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(2), pages 219-228, November.
    2. Q. Ansari & W. Oettli & D. Schläger, 1997. "A generalization of vectorial equilibria," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 46(2), pages 147-152, June.
    3. M. Bianchi & N. Hadjisavvas & S. Schaible, 1997. "Vector Equilibrium Problems with Generalized Monotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 92(3), pages 527-542, March.
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