Real Analysis: Contractions and Picard’s Fixed-point Theorem. Lect. 18.

[@algorithmo134]

Hi Sir, you should consider doing a playlist for each real analysis topic which covers everything in the book RR Goldberg. You are excellent in teaching students. Very clear concepts! God bless!

[@BScMathematicsDrSSPhulsagar]

Okay. I will try. Thank you.

[@jaganraj_r]

8:54 complete metric space

[@BScMathematicsDrSSPhulsagar]

Yes. In the statement of the theorem please read as M be a complete metric space. Thank you for suggesting the correction.

[@mahalakshmig5232]

Sir can you explain regarding cauchy criterion for uniform convergence?

[@BScMathematicsDrSSPhulsagar]

No. It is not included in our university’s syllabus.

[@mahalakshmig5232]

Kk sir

[@evilfairy7460]

I really have no words😭 Today i had an exam but i couldn't understand this theorem. Thank God I've found this video. You're really doing a great job sir, even though the views are low keep uploading the videos sir. I wish I could get a teacher like you sir

[@BScMathematicsDrSSPhulsagar]

Thank you for your complements.

[@viji.d927]

Sir T suffix x or Tx?

[@BScMathematicsDrSSPhulsagar]

We are writing(to simplify notation)
Tx instead of T(x).
It is Tx and not T suffix x.

[@sahanas4575]

Thank you for all your videos sir... I'm very excited to learn real analysis after watching all your lectures. With a week I have real exam I wish I could found your channel before😿

[@BScMathematicsDrSSPhulsagar]

You are welcome. Best wishes for your study and exam.