On some kind of new nonempty intersection theorems in interval spaces with applications to variational inequalities. (Chinese. English summary) Zbl 0864.54041
Summary: Some new kind of nonempty intersection theorems in generalized interval spaces without any linear structure are given. As an application the authors utilize their results to study existence problems of solutions for some kind of abstract variational inequalities in generalized interval spaces.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 49J40 | Variational inequalities |
| 54D05 | Connected and locally connected spaces (general aspects) |
