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A Note on a Sequence of Contraction Mappings

Published online by Cambridge University Press:  20 November 2018

S.P. Singh
Memorial University of Newfoundland, St. John'sNewfoundland
W. Russell
Memorial University of Newfoundland, St. John'sNewfoundland
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Let E be a metric space. A mapping T of the space E into itself is said to be a contraction if there exist s a number k, with 0 ≤ k < 1 such that

for any two points x, y ∈ E. Every contraction mapping is continuous.

Research Article
Copyright © Canadian Mathematical Society 1969


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