**Convex analysis** is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization, a subdomain of optimization theory.

## See also

## References

- J.-B. Hiriart-Urruty; C. Lemaréchal (2001).
*Fundamentals of convex analysis*. Berlin: Springer-Verlag. ISBN 978-3-540-42205-1.
- Rockafellar, R. Tyrrell (1997) [1970].
*Convex Analysis*. Princeton, NJ: Princeton University Press. ISBN 9780691015866.
- Singer, Ivan (1997).
*Abstract convex analysis*. Canadian Mathematical Society series of monographs and advanced texts. New York: John Wiley & Sons, Inc.. pp. xxii+491. ISBN 0-471-16015-6. MR1461544.
- Stoer, J.; Witzgall, C. (1970).
*Convexity and optimization in finite dimensions*. **1**. Berlin: Springer. ISBN 978-0387048352.
- Zălinescu, C..
*Convex analysis in general vector spaces*. World Scientific Publishing Co., Inc. pp. xx+367. ISBN 981-238-067-1. MR1921556.