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Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach. (English) Zbl 1102.47039

The authors give some fixed point theorems for multivalued maps in Fréchet spaces satisfying a compactness condition of Mönch type [H. Mönch, Nonlinear Anal., Theory Methods Appl. 4, 985–999 (1980; Zbl 0462.34041)] and the Leray–Schauder boundary condition in the sense that a Fréchet space can be viewed as the projective limit of a sequence of Banach spaces.

MSC:

47H10 Fixed-point theorems
54C60 Set-valued maps in general topology
47H04 Set-valued operators

Citations:

Zbl 0462.34041
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