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Hölder Continuity for Solution Mappings of Parametric Non-convex Strong Generalized Ky Fan Inequalities.
- Source :
-
Numerical Functional Analysis & Optimization . 2020, Vol. 41 Issue 3, p344-360. 17p. - Publication Year :
- 2020
-
Abstract
- This article focuses on a new approach to investigate the Hölder continuity for the solution mapping of a parametric non-convex strong generalized Ky Fan inequality. Based on a non-convex separation theorem, the union relation between the solution set of the parametric non-convex strong generalized Ky Fan inequality and the solution sets of a series of Ky Fan inequalities, is established. Without density results and any information on the solution mapping, a sufficient condition for the Hölder continuity of the solution mapping to the parametric non-convex strong generalized Ky Fan inequality is given by using the key union relation. Our method does not impose any convexity, monotonicity, and the single-valuedness of the solution mapping. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 41
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 140857484
- Full Text :
- https://doi.org/10.1080/01630563.2019.1628051