Continuous optimization is a branch of optimization in applied mathematics.
As opposed to discrete optimization, the variables used in the objective function are required to be continuous variables—that is, to be chosen from a set of real values between which there are no gaps (values from intervals of the real line). Because of this continuity assumption, continuous optimization allows the use of calculus techniques.
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References
V. Jeyakumar; Alexander M. Rubinov (9 March 2006). Continuous Optimization: Current Trends and Modern Applications. Springer Science & Business Media. ISBN 978-0-387-26771-5. 978-0-387-26771-5 ↩