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Generalizations of Ky Fan minimax inequality with applications. (English) Zbl 0993.47035

Rassias, Themistocles M. (ed.), Mathematical analysis and applications. Palm Harbour, FL: Hadronic Press. 271-304 (2000).
This article presents some new modifications of the Ky Fan type minimax inequalities and then the corresponding versions of theorems about fixed points and maximal elements, von Neumann type minimax inequalities, variational inequalities including theorems about complementarity problems. In general the authors formulate 31 theorems, lemmas, and corollaries.
For the entire collection see [Zbl 0958.00011].

MSC:

47H04 Set-valued operators
47H10 Fixed-point theorems
49J35 Existence of solutions for minimax problems
47J20 Variational and other types of inequalities involving nonlinear operators (general)
49J40 Variational inequalities
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