Abstract
Based on the concept of subdifferential of a convex vector function, we define the so-called diagonal subdifferential operator for vector-valued bi-functions depending on a parameter and show its sensitivity with respect to the parameter. As a byproduct, we obtain Lipschitz continuity results of the solution map for parametric strong vector equilibrium problems.
| Original language | English |
|---|---|
| Pages (from-to) | 527-537 |
| Number of pages | 11 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 20 |
| Issue number | 3 |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019, Yokohama Publications.
Keywords
- Diagonal subdifferential operator
- Regularity of monotone mappings
- Sensitivity analysis
- Vector equilibria
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics
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