Back to Search
Start Over
Convergence of Solutions of a Set Optimization Problem in the Image Space.
- Source :
- Journal of Optimization Theory & Applications; Aug2016, Vol. 170 Issue 2, p358-371, 14p
- Publication Year :
- 2016
-
Abstract
- The present work is devoted to the study of stability in set optimization. In particular, a sequence of perturbed set optimization problems, with a fixed objective map, is studied under suitable continuity assumptions. A formulation of external and internal stability of the solutions is considered in the image space, in such a way that the convergence of a sequence of solutions of perturbed problems to a solution of the original problem is studied under appropriate compactness assumptions. Our results can also be seen as an extension to the set-valued framework of known stability results in vector optimization. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 170
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 116917274
- Full Text :
- https://doi.org/10.1007/s10957-016-0942-x