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The Fixed Point Set of Real Multi-Valued Contraction Mappings
Published online by Cambridge University Press: 20 November 2018
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Let (X, d1) and (Y, d2) be metric spaces. A mapping f:X→Y is said to be a Lipschitz mapping if there exists a real number λ such that
for each x,y∊X. We call λ a Lipschitz constant for f. If λ∊[0, 1), f is called a contraction mapping. Throughout this note CB(Y) denotes the set of closed and bounded subsets of Y equipped with the Hausdorff metric induced by d2.
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- Copyright © Canadian Mathematical Society 1972
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