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Proceedings of the American Mathematical Society

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

 

 

On some topological problems arising from maps of contractive type


Authors: Kok Keong Tan and Chi Song Wong
Journal: Proc. Amer. Math. Soc. 62 (1977), 167-172
MSC: Primary 54C30; Secondary 54H25
MathSciNet review: 0428265
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Abstract: Characterizations of sequentially complete and of countably compact subsets of a uniform space are obtained. Applications to fixed point theory and coincidence theory are given.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0428265-8
Keywords: Coincidence, compactness, completeness, countable compactness, fixed point, Hausdorff pseudo-metric, lower semicontinuity, positive definiteness, sequential completeness, uniformity
Article copyright: © Copyright 1977 American Mathematical Society