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Chen, Chi-Ming; Chang, Tong-Huei; Chung, Chiao-Wei

Coincidence theorems on nonconvex sets and its applications. (English) Zbl 1176.47038

Taiwanese J. Math. 13, No. 2A, 501-513 (2009).
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)

Cited in 2 Documents

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

Keywords:

almost convex set; \(KKM^*(X,Y)\); generalised \(\phi\)-mapping; coincidence theorem; variational inequality theorem; minimax theorem
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