- Tytuł:
- Optimality conditions for preinvex functions using symmetric derivative
- Autorzy:
-
Rastogi, Sachin
Iqbal, Akhlad
Rajan, Sanjeev - Powiązania:
- https://bibliotekanauki.pl/articles/2204082.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
- Tematy:
-
invex set
preinvex function
symmetric derivative
Fritz John optimality conditions - Opis:
- As a generalization of convex functions and derivatives, in this paper, the authors study the concept of a symmetric derivative for preinvex functions. Using symmetrical differentiation, they discuss an important characterization for preinvex functions and define symmetrically pseudo-invex and symmetrically quasi-invex functions. They also generalize the first derivative theorem for symmetrically differentiable functions and establish some relationships between symmetrically pseudo-invex and symmetrically quasi-invex functions. They also discuss the Fritz John type optimality conditions for preinvex, symmetrically pseudo-invex and symmetrically quasi-invex functions using symmetrical differentiability.
- Źródło:
-
Operations Research and Decisions; 2022, 32, 4; 91--101
2081-8858
2391-6060 - Pojawia się w:
- Operations Research and Decisions
- Dostawca treści:
- Biblioteka Nauki
Artykuł