%0 Journal Article %T Almost fixed point property for digital spaces associated with Marcus-Wyse topological spaces %A Han, Sang-Eon %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 1 %@ ISSN 2008-1901 %F Han2017 %X The present paper studies almost fixed point property for digital spaces whose structures are induced by Marcus-Wyse (M-, for brevity) topology. In this paper we mainly deal with spaces \(X\) which are connected M-topological spaces with M-adjacency (MA-spaces or M-topological graphs for short) whose cardinalities are greater than 1. Let MAC be a category whose objects, denoted by Ob(MAC), are MA-spaces and morphisms are MA-maps between MA-spaces (for more details, see Section 3), and MTC a category of M-topological spaces as Ob(MTC) and M-continuous maps as morphisms of MTC (for more details, see Section 3). We prove that whereas any MA-space does not have the fixed point property (FPP for short) for any MA-maps, a bounded simple MA-path has the almost fixed point property (AFPP for short). Finally, we refer the topological invariant of the FPP for M-topological spaces from the viewpoint of MTC. %9 journal article %R 10.22436/jnsa.010.01.04 %U http://dx.doi.org/10.22436/jnsa.010.01.04 %P 34--47 %0 Journal Article %T Diskrete Räume %A P. Alexandroff %J Mat. Sb. %D 1937 %V 2 %F Alexandroff1937 %0 Journal Article %T A classical construction for the digital fundamental group %A L. Boxer %J J. Math. Imaging Vision %D 1999 %V 10 %F Boxer 1999 %0 Book %T The Lefschetz fixed point theorem %A R. F. Brown %D 1971 %I Scott, Foresman and Co., %C Glenview, Ill.-London %F Brown1971 %0 Journal Article %T Some remarks concerning semi-\(T_{1/2}\) spaces %A V. A. Chatyrko %A S.-E. Han %A Y. 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