On mappings with contractive iterate at a point in generalized metric spaces.
Gajić, Ljiljana, Lozanov-Crvenković, Zagorka (2010)
Fixed Point Theory and Applications [electronic only]
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On mappings with contractive iterate at a point in generalized metric spaces.
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Rosenthal in [11] proved that if is a uniformly bounded sequence of real-valued functions which has no pointwise converging subsequence then has a subsequence which is equivalent to the unit basis of in the supremum norm. Kechris and Louveau in [6] classified the pointwise convergent sequences of continuous real-valued functions, which are defined on a compact metric space, by the aid of a countable ordinal index “”. In this paper we prove some local analogues of the above Rosenthal...