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Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings

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  • Kanokwan Sitthithakerngkiet
  • Somyot Plubtieng

Abstract

Let be a nonempty compact convex subset of a topological vector space. In this paper-sufficient conditions are given for the existence of such that , where is the set of all fixed points of the multivalued mapping and is the set of all solutions for vector equilibrium problem of the vector-valued mapping . This leads us to generalize and improve some existence results in the recent references.

Suggested Citation

  • Kanokwan Sitthithakerngkiet & Somyot Plubtieng, 2013. "Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
  • Handle: RePEc:hin:jnlaaa:952021
    DOI: 10.1155/2013/952021
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