Cho, Yeol Je; O’Regan, Donal; Yan, Baoqiang Lefschetz fixed point theory for compact absorbing contractive admissible maps. (English) Zbl 1206.47048 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 16, No. 1, 69-83 (2009). The authors use a characterization of a Fréchet space as a proximal limit of Banach spaces (\(E=\lim_\leftarrow E_n\)), and present several Lefschetz-type fixed point results for compact absorbing contractive admissible maps in a Fréchet space \(E\) under suitable assumptions on corresponding maps in Banach spaces \(E_n\).The last part of the paper (Section 3) contains analogs of results from Section 2 for condensing maps and for condensing maps with compact attractor. Reviewer: Grzegorz Gabor (Toruń) MSC: 47H10 Fixed-point theorems 54H25 Fixed-point and coincidence theorems (topological aspects) Keywords:fixed point theory; projective limit PDFBibTeX XMLCite \textit{Y. J. Cho} et al., J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 16, No. 1, 69--83 (2009; Zbl 1206.47048)