Space of Bounded Functions is a Metric Space || Uniform Metric || Theory of Metric Spaces

Some suggested books on metric spaces are:

1. S. Shirali and H. L. Vasudeva. Metric Spaces.

2. D. Gopal, A. Deshmukh, A. S. Ranadive and S. Yadav. An Introduction to Metric Spaces.

3. M. O' Searcoid. Metric spaces.