Unconstrained optimization

19 Outubro 2017, 18:00 • José Pedro Gaivão

Exercises. 

Second order condition. Examples.

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Kakutani theorem

13 Outubro 2017, 20:00 • José Pedro Gaivão

Upper hemicontinuity

Kakutani fixed point theorem, examples. 

Introduction to optimization problems

Local/global optimal points. Critical points.

 

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Correspondences

12 Outubro 2017, 18:00 • José Pedro Gaivão

Correspondences

Closed graph property

Examples

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Hyperplane separation theorem

6 Outubro 2017, 20:00 • José Pedro Gaivão

Exercises

Hyperplane separation theorem.

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Fixed point theorems

29 Setembro 2017, 20:00 • José Pedro Gaivão

Banach fixed point theorem. Examples

Brouwer fixed point theorem. Examples.

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