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Convex Analysis and Set-Valued Maps: A Review

Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Convexity plays a fundamental role in the analysis of optimization problems. In this very brief chapter we review some basic concepts on convex sets and convex functions. The material is presented quickly with no proofs and should be familiar to a reader who has had a standard convex analysis course. Some of the topics that might be less familiar and particularly relevant to this monograph will be given in greater details. Similarly, we review the basic definitions and properties of set-valued maps.

Keywords

Convex Function Convex Cone Normal Cone Support Function Convex Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2003

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