Agarwal, Ravi P.; Dshalalow, Jewgeni H.; O’Regan, Donal Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach. (English) Zbl 1102.47039 Int. J. Math. Math. Sci. 2005, No. 17, 2775-2782 (2005). 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. Reviewer: In-Sook Kim (München) Cited in 5 Documents MSC: 47H10 Fixed-point theorems 54C60 Set-valued maps in general topology 47H04 Set-valued operators Keywords:fixed points; Mönch-type maps; Leray-Schauder boundary condition; Fréchet spaces; projective limit Citations:Zbl 0462.34041 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Int. J. Math. Math. Sci. 2005, No. 17, 2775--2782 (2005; Zbl 1102.47039) Full Text: DOI EuDML