Convex analysis

${\displaystyle F=F^{**}}$ where ${\displaystyle F}$ is the relating the primal and dual problems and ${\displaystyle F^{**}}$ is the biconjugate of ${\displaystyle F}$;

perturbation function

the primal problem is a ;

linear optimization problem

for a convex optimization problem.^[8][9]

Slater's condition

Convexity in economics

Non-convexity (economics)

List of convexity topics

 – German mathematicianPages displaying wikidata descriptions as a fallback

Werner Fenchel

; Combettes, Patrick L. (28 February 2017). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics. Springer Science & Business Media. ISBN 978-3-319-48311-5. OCLC 1037059594.

Bauschke, Heinz H.

; Vandenberghe, Lieven (8 March 2004). Convex Optimization. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge, U.K. New York: Cambridge University Press. ISBN 978-0-521-83378-3. OCLC 53331084.

Boyd, Stephen

; Lemaréchal, C. (2001). Fundamentals of convex analysis. Berlin: Springer-Verlag. ISBN 978-3-540-42205-1.

Hiriart-Urruty, J.-B.

Kusraev, A.G.; (1995). Subdifferentials: Theory and Applications. Dordrecht: Kluwer Academic Publishers. ISBN 978-94-011-0265-0.

Kutateladze, Semen Samsonovich

; Wets, Roger J.-B. (26 June 2009). Variational Analysis. Grundlehren der mathematischen Wissenschaften. Vol. 317. Berlin New York: Springer Science & Business Media. ISBN 9783642024313. OCLC 883392544.

Rockafellar, R. Tyrrell

(1991). Functional Analysis. International Series in Pure and Applied Mathematics. Vol. 8 (Second ed.). New York, NY: McGraw-Hill Science/Engineering/Math. ISBN 978-0-07-054236-5. OCLC 21163277.

Rudin, Walter

Singer, Ivan (1997). Abstract convex analysis. Canadian Mathematical Society series of monographs and advanced texts. New York: John Wiley & Sons, Inc. pp. xxii+491.  0-471-16015-6. MR 1461544.

ISBN

Stoer, J.; Witzgall, C. (1970). Convexity and optimization in finite dimensions. Vol. 1. Berlin: Springer.  978-0-387-04835-2.

ISBN

(30 July 2002). Convex Analysis in General Vector Spaces. River Edge, N.J. London: World Scientific Publishing. ISBN 978-981-4488-15-0. MR 1921556. OCLC 285163112 – via Internet Archive.

Zălinescu, Constantin

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