Abstract Convex Analysis

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Wiley, Aug 14, 1997 - Mathematics - 491 pages
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This landmark monograph presents a new theory of abstract convex analysis, i.e. of extensions of the concepts and results of general convex analysis to arbitrary sets and functions. Contains numerous examples of abstract convex sets, functions, conjugations, subdifferentials, etc. and of applications with regard to the general theory of these particular cases. Demonstrates the use of diverse components of abstract convex analysis to several topics in non-convex optimization. Describes the latest developments including parametrizations of Minkowski type dualities and conjugations of type Lau.

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