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A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results.
- Source :
- SpringerPlus; 8/12/2016, Vol. 5 Issue 1, p1-17, 17p
- Publication Year :
- 2016
-
Abstract
- In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak vector equilibrium problems. Moreover, Painlevé-Kuratowski upper convergence of solution set is also discussed as an application, when both the objective mapping and the constraint set are perturbed by difference parameters. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21931801
- Volume :
- 5
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- SpringerPlus
- Publication Type :
- Academic Journal
- Accession number :
- 117419116
- Full Text :
- https://doi.org/10.1186/s40064-016-3001-z