Use of Convergent Subsequences in Proof

Theorem:

Let $(X,d)$ be a compact metric space and $T:X\to X$ be a contractive operator. Then T is a strict Picard operator.

Proof:

Let…

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s