Use a contraction argument

Assignment Help Mathematics
Reference no: EM13834009

Suppose that η : R^n→ R^n is a Lipschitz function with Lipschitz constant αband 0≤α<1. Prove that the function F :R^n →R^n given by F (x) = x + η(x) is bijective. Hint: Use a contraction argument 

Reference no: EM13834009

Questions Cloud

Company has an investment project : A company has an investment project that would cost $40 million today and yield a payoff of $58 million in 4 years. Should the firm undertake the project
Calculate consumption-government purchases-national saving : Suppose GDP is $15 trillion, taxes are $3 trillion, private saving is $2 trillion, and public saving is -$0.5 trillion. Assuming this economy is closed, calculate consumption, government purchases, national saving, and investment. Explain your answer..
Explain how the security method works : An explanation of how the security method works. Advantages and disadvantages of the chosen security
A firm with monopoly power is able to set a markup price : To maximize profit, the monopolist increases output: A firm with monopoly power is able to set a markup price that is: Typical evidence for the existence of market power would be market prices:
Use a contraction argument : Suppose that η : R^n→ R^n is a Lipschitz function with Lipschitz constant αband 0≤α
Equal to its marginal benefits : For the true value of assets to be felt, you should only hold money up to the point where its ________ is equal to its marginal benefits.
Consider this lp formulation : Consider this LP formulation: Minimize cost = $X + 2Y X +3Y ≥ 90 8X + 2Y ≥160 3X + 2Y ≥ 120 Y≤70 X, Y≥ 0 Graphically illustrate the feasible region and apply the isocost line procedure to indicate which corner point produces the optimal solution. Wha..
Write a short memo to your supervisor explaining : Prepare your performance report to show calculations for the eleven ratios listed on page 131-132, as well as a comparison of your computed ratios with the listed industry averages.
What is the npv of the project : a.The internal rate of return is 13%. If the opportunity cost of capital is 10%, what is the NPV of the project? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)

Reviews

Write a Review

Mathematics Questions & Answers

  Every company gathers information on customer preferences

implementing a marketing databaseevery company gathers information on customer preferences and buying history in order

  I nutritional intervention more effective than behavioral

in a study to compare the effectiveness of treatments for adhd in children 40 children diagnosed with adhd were

  Calculate ultimate bearing capacity of the raft foundation

Meyerhof method to calculate the ultimate bearing capacity - Use the Meyerhof method to calculate the ultimate bearing capacity of the raft foundation and the allowable bearing capacity

  Cost and revenue functions and breaking point

A company that manufactures bicycles has a fixed cost of $ 100,000. It costs $ 100 to produce each bicycle. The selling price per bike is $ 300.

  Graph the histogram and give mean and variance of sample

Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).

  Correlation coefficient-correlating data

Using the following data, obtained from an imaginary harness small manufacturing company, determine the correlation between the number of hours that an employee works and how many belts they produce:

  What percentage of the total capacity is being used

A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 20 ft, what percentage of the total capacity is being used? (Round the answer to one..

  Antichains of power set

Would someone be able to explain to me how we would find antichains and chains of a powerset? For example, if we had the power set of 4 - P([4]) then how would we derive the antichains, and symmetric chains?

  Without doing any computations how do you expect mean

an insurance company gives a table of insurance payments for 20 clients over the period of one year the payments are

  Select the approximate values of x

Select the approximate values of x that are solutions to f(x) = 0, wheref(x) = -8x2 + 6x + 5. A. {-1.60, 1.20}B. {-8, 6}

  Using expeccted value to find a fair bet in five card stud

Using expeccted value to find a fair bet in five card stud. If casino five card stud were fair, how much should it pay to a player who bets $10 and gets a full house versus a dealer who gets two pair?

  What is the natural length l of the spring

If 5 J of work are needed to stretch a spring from 10 cm to 11 cm and 7 J are needed to stretch it from 11 cm to 12 cm, what is the natural length L of the spring?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd