Geodesic
On Irregular Fixed Points
Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 507-512

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Throughout this paper (X, d) will be a metric space with metric d, and h ahomeomorphism of X onto itself. For any real number r > 0, and p ∊ X,U(p, r) will denote the open r - sphere about p. Any point p ∊ X is calledregular [3] if for any given ∊ > 0 there exists a δ > 0 such that d(p,y) <δ implies d(hn(p), hn(y)) < ∊ for allintegers n, where hn denotes the iterates of h for n > 0, of h-1 for n < 0, and h0 is the identity. Any pointof X which is not a regular point i s called an irregular point. Let I(h)denote the set of all the irregular points of X and R(h) = X-I(h). Lim infand Lim sup are defined as in [4]. 
Kaul, S.K. On Irregular Fixed Points. Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 507-512. doi: 10.4153/CMB-1967-049-6
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     author = {Kaul, S.K.},
     title = {On {Irregular} {Fixed} {Points}},
     journal = {Canadian mathematical bulletin},
     pages = {507--512},
     year = {1967},
     volume = {10},
     number = {4},
     doi = {10.4153/CMB-1967-049-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-049-6/}
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