Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Convex set

Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_170

A set of points that contains the line segment connecting any two of its point. Mathematically, the set S is convex if for all 0 ≤ α ≤ 1 and for all x1 and x1 in S, the point αx1 + (1 − α)x2 is also in S.

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© Kluwer Academic Publishers 2001

Authors and Affiliations

  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA