Abstract
To begin, we recall the notion of selecting families, introduced by Deguire and Lassonde in [4] . We also recall a selection theorem and a generalized fixed-point theorem for Ky Fan families of set valued maps. Applications of those results are then presented: a generalization of the Tychonoff fixed-point theorem and a version of the KyFan intersection theorem for families of maps together with it’s analytical formulation, a very general system of minimax inequalities.
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© 1998 Springer Science+Business Media Dordrecht
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Deguire, P. (1998). Generalized Fixed-Points and Systems of Minimax Inequalities. In: Ricceri, B., Simons, S. (eds) Minimax Theory and Applications. Nonconvex Optimization and Its Applications, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9113-3_4
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DOI: https://doi.org/10.1007/978-94-015-9113-3_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5030-4
Online ISBN: 978-94-015-9113-3
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