Journal of Inequalities and Applications (Jan 2010)

Existence of Solutions for η-Generalized Vector Variational-Like Inequalities

  • Xi Li,
  • Jong Kyu Kim,
  • Nan-Jing Huang

DOI
https://doi.org/10.1155/2010/968271
Journal volume & issue
Vol. 2010

Abstract

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We introduce and study a class of η-generalized vector variational-like inequalities and a class of η-generalized strong vector variational-like inequalities in the setting of Hausdorff topological vector spaces. An equivalence result concerned with two classes of η-generalized vector variational-like inequalities is proved under suitable conditions. By using FKKM theorem, some new existence results of solutions for the η-generalized vector variational-like inequalities and η-generalized strong vector variational-like inequalities are obtained under some suitable conditions.