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Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings

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  • Adem Kılıçman
  • Rais Ahmad
  • Mijanur Rahaman

Abstract

We consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for strong mixed vector equilibrium problem without using KKM-Fan theorem. The results in this paper generalize, improve, extend, and unify some existence results in the literature. Some special cases are discussed and an example is constructed.

Suggested Citation

  • Adem Kılıçman & Rais Ahmad & Mijanur Rahaman, 2014. "Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, May.
  • Handle: RePEc:hin:jnlaaa:497846
    DOI: 10.1155/2014/497846
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