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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A new proof of Caristi's fixed point theorem


Author: Jerrold Siegel
Journal: Proc. Amer. Math. Soc. 66 (1977), 54-56
MSC: Primary 54H25
DOI: https://doi.org/10.1090/S0002-9939-1977-0458403-2
MathSciNet review: 0458403
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Abstract: An elementary proof of Caristi's generalization of the contraction theorem is presented.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0458403-2
Keywords: Contraction theorem, fixed point theorem, complete metric space
Article copyright: © Copyright 1977 American Mathematical Society