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Some generalizations of the contraction mapping theorem

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Summary

The Contraction Mapping Theorem is extended to the class of completea-metric spaces. Also, results of Edelstein on local contractions are generalized.

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Introduced by B. Pettineo.

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Sims, B.T. Some generalizations of the contraction mapping theorem. Rend. Circ. Mat. Palermo 21, 64–70 (1972). https://doi.org/10.1007/BF02844232

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  • DOI: https://doi.org/10.1007/BF02844232

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