Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems
Abstract Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with γ > 0 $\gamma>0$ . Then, in terms of prederivatives, we establish both necess...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1519-4 |