Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems

Document Type : Research Paper

Authors
1 Arak University
2 Department of Mathematics, Faculty of Science, Arak University, Arak, Iran
3 Department of Mathematics, Arak University, Arak, Iran
Abstract
In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.
Keywords

Volume 10, Issue 1
November 2019
Pages 15-26

  • Receive Date 18 October 2018
  • Revise Date 23 June 2019
  • Accept Date 30 June 2019

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