Coincidence theorems on nonconvex sets and its applications. (English) Zbl 1176.47038
In this paper, the authors establish some coincidence theorems, generalized variational inequality theorems and minimax inequality theorems for the family \(KKM^*(X,Y)\) and a generalized \(\phi\)-mapping on a nonconvex set.
Reviewer: Pratulananda Das (Kolkata)
MSC:
47H10 | Fixed-point theorems |
54C60 | Set-valued maps in general topology |
54H25 | Fixed-point and coincidence theorems (topological aspects) |
49J40 | Variational inequalities |
49K35 | Optimality conditions for minimax problems |