Abstract
In this paper, we consider strong form of a vector equilibrium problem and establish some existence results for solutions of such a problem in the setting of topological vector spaces. We provide several coercivity conditions under which strong vector equilibrium problem has a solution. Our results generalize and extend the results of Bianchi and Pini [10] to the topological vector space setting.
| Original language | English |
|---|---|
| Pages (from-to) | 165-178 |
| Number of pages | 14 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 16 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2012 |
Keywords
- Coercivity conditions
- Existence results
- Generalized monotonicities
- KKM theorem
- Recession cones
- Vector equilibrium problems
ASJC Scopus subject areas
- General Mathematics