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Zbl 1206.54044
Gajić, Ljiljana; Lozanov-Crvenković, Zagorka
On mappings with contractive iterate at a point in generalized metric spaces.
(English)
[J] Fixed Point Theory Appl. 2010, Article ID 458086, 16 p. (2010). ISSN 1687-1812/e

Summary: Using the setting of generalized metric space, the so-called $G$-metric space, fixed point theorems for mappings with a contractive and a generalized contractive iterate at a point are proved. These results generalize some comparable results in the literature. A common fixed point result is also proved.
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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