| Autor: |
Shirdel, Gholam Hasan, Zeinali, Maryam, Ansari Ardali, Ali |
| Zdroj: |
Journal of Applied Mathematics & Computing; Dec2022, Vol. 68 Issue 6, p4099-4118, 20p |
| Abstrakt: |
This research examines a wide class of optimization problems that are known in the literature as mathematical programs with vanishing constraints (MPVC for short). First, we introduce non-smooth stationarity conditions for MPVC and then we derive Fritz-John (FJ) and Karush–Khun–Tucker (KKT) type necessary conditions for isolated and local minima of a non-smooth MPVC in the framework of lower Dini–Hadamard derivative. Further, several sufficient conditions for such an MPVC are presented whereas the effective functions have pseudo-convex sublevel sets. The function class with pseudo-convex sublevel sets is a new class of extended convex functions that includes quasi-convex functions. In particular, we illustrate some of our results by examples. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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