7. Let (S, p) be a metric space and T : S → S be a contraction mapping. Prove that T is uniformly continuous on S.
7. Let (S, p) be a metric space and T : S → S be a contraction mapping. Prove that T is uniformly continuous on S.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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![7. Let (S, p) be a metric space and T : S → S be a contraction mapping. Prove that T is uniformly
continuous on S.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77cac1a6-5ad9-4f72-bdd9-21a202e53df4%2Fd84caaf7-ca2e-4e15-898b-eef729e8ccac%2Fybhjgl_processed.png&w=3840&q=75)
Transcribed Image Text:7. Let (S, p) be a metric space and T : S → S be a contraction mapping. Prove that T is uniformly
continuous on S.
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