- Tytuł:
- Variational inequalities in noncompact nonconvex regions
- Autorzy:
-
Lin, Ching-Yan
Chu, Liang-Ju - Powiązania:
- https://bibliotekanauki.pl/articles/729495.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Nikaidô's coincidence theorem
variational inequality
nearly convex
V₀-Karamardian condition
Saigal condition
acyclic multifunction
algebraic interior
bounding points - Opis:
- In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem on GVI(T,C,ϕ), which generalizes a result of Fang and Peterson.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2003, 23, 1; 5-19
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł