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\(W\)-\(G\)-\(F\)-\(KKM\) mapping, intersection theorems and minimax inequalities in \(FC\)-space. (English) Zbl 1123.49002

For multimaps defined on finitely continuous spaces (\(FC\)-spaces) [see X. P. Ding, J. Math. Anal. Appl. 305, No. 1, 29–42 (2005; Zbl 1120.91001)], the authors present some \(KKM\) type and intersection theorems. Some applications to minimax inequalities are given.

MSC:

49J35 Existence of solutions for minimax problems
47J05 Equations involving nonlinear operators (general)
47H04 Set-valued operators
52A01 Axiomatic and generalized convexity
54H25 Fixed-point and coincidence theorems (topological aspects)

Citations:

Zbl 1120.91001
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Full Text: DOI

References:

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