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- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-015-0235-9
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we study the solvability of a system of vector equilibrium problems. We extend the concept of topological pseudomonotonicity to a family of mappings. We prove existence results for the system of vector equilibrium problems under topological pseudomonotonicity conditions by the Kakutani–Fan–Glicksberg fixed point theorem. As applications, we obtain existence results for systems of equilibrium problems under topological pseudomonotonicity conditions.
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Sep 14, 2015