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cinar
Group Title
I need an example of Banach space..
(10 points) Define a Banach Space and Verify that the space is Banach.
(10 points) Define a operator and show that your operator is a contraction.
(10 points) Apply CMT and get a conclusion.
(10 points) What is the meaning of having a fixed point for the problem you are working on?
(10 points) Originality.
 one year ago
 one year ago
cinar Group Title
I need an example of Banach space.. (10 points) Define a Banach Space and Verify that the space is Banach. (10 points) Define a operator and show that your operator is a contraction. (10 points) Apply CMT and get a conclusion. (10 points) What is the meaning of having a fixed point for the problem you are working on? (10 points) Originality.
 one year ago
 one year ago

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cinar Group TitleBest ResponseYou've already chosen the best response.0
CMT=contraction mapping theorem..
 one year ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.0
\[l_p :=\{x\in\mathbb{R}^n : x_p<\infty\}\] is a known Banach space, but I'm not familiar with the details of it. I don't know about the rest of your question.
 one year ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.0
I am not familiar with this subject, but I do recall one article I saw about Contraction Mapping Theorem by Keith Conrad: http://www.math.uconn.edu/~kconrad/blurbs/analysis/contraction.pdf I apologize if it is not useful here, although I found some of his other articles useful or interesting, so maybe you can find something here? :)
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
I know this one (:
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
thanks to both though
 one year ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.0
Take the Banach Space R the set of real numbers with norm of x being the absolute value of X. and take the operator T(x) = 1/2 x
 one year ago
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