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Ferreira, M. A. M. (2020).  Convex programming based on Hahn Banach theorem. In Luigi Giacomo Rodino (Ed.), Theory and Applications of Mathematical Science. (pp. 60-72). Hooghly: Book Publisher International.

M. A. Ferreira,  " Convex programming based on Hahn Banach theorem", in Theory and Applications of Mathematical Science, Luigi Giacomo Rodino, Ed., Hooghly, Book Publisher International, 2020, vol. 1, pp. 60-72

@incollection{ferreira2020_1714182183402,
	author = "Ferreira, M. A. M.",
	title = " Convex programming based on Hahn Banach theorem",
	chapter = "",
	booktitle = "Theory and Applications of Mathematical Science",
	year = "2020",
	volume = "1",
	series = "",
	edition = "1",
	pages = "60-60",
	publisher = "Book Publisher International",
	address = "Hooghly",
	url = "http://www.bookpi.org/bookstore/product/theory-and-applications-of-mathematical-science/"
}

TY  - CHAP
TI  -  Convex programming based on Hahn Banach theorem
T2  - Theory and Applications of Mathematical Science
VL  - 1
AU  - Ferreira, M. A. M.
PY  - 2020
SP  - 60-72
DO  - : 10.9734/bpi/tams/v1
CY  - Hooghly
UR  - http://www.bookpi.org/bookstore/product/theory-and-applications-of-mathematical-science/
AB  - The  main  objective  of  this  chapter  is  to  present  the  separation  theorems,  important  consequences  of  Hahn-Theorem  theorem.  Therefore,  we  begin  with  an  overview  on  convex  sets  and  convex  functionals.  Then  go  on with  the  Hahn-Banach  theorem  and  separation  theorems.  Follow  these  results  specification:  first  for  normed spaces  and  then  for  a  subclass  of  these  spaces,  the  Hilbert  spaces.  In  this  last  case  plays  a  key  role  the  Riesz representation theorem. Separation theorems are key results in convex programming. Then the chapter ends with the  outline  of  applications  of  these  results  in  convex  programming,  Kuhn-Tucker  theorem,  and  in  minimax theorem, two important tools in operations research, management and economics,for instance.
ER  -