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Discrete convex analysis

2000
In this chapter a theory of discrete optimization called discrete convex analysis will be introduced. For a comprehensive treatment we refer the reader to Stoer and Witzgall [227], Fujishige [96, Chapter IV], and Murota [179] [181]. Martinez-Legaz [165] seems to have been the first writer to apply the discrete convex analysis to the cooperative game ...
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Modern convex analysis

2014
International ...
Combettes, Patrick Louis   +2 more
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Abstract Convexity in Measure Theory and in Convex Analysis

Journal of Mathematical Sciences, 2003
The paper under report is a survey on the so-called ``abstract convex analysis'' and on some applications to optimization problems. If \(\Omega\) is a set and \(H\) is a class of functions from \(\Omega\) into \(\mathbb{R}\), a function \(f: \Omega\to\mathbb{R}\cup \{+\infty\}\) is called \(H\)-convex if it is the supremum of a family of functions ...
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Convex Geometric Analysis

1999
Convex geometry is at once simple and amazingly rich. While the classical results go back many decades, during that previous to this book's publication in 1999, the integral geometry of convex bodies had undergone a dramatic revitalization, brought about by the introduction of methods, results and, most importantly, new viewpoints, from probability ...
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Convex Analysis

2000
Jonathan M. Borwein, Adrian S. Lewis
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Convex Analysis

2014
Adil Bagirov   +2 more
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Convex Discriminant Analysis Tools for Non Convex Pattern Recognition

2002
The estimation of convex sets when inside and outside observations are available is often needed in current research applications.
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Non-probabilistic polygonal convex set model for structural uncertainty quantification

Applied Mathematical Modelling, 2021
Jie Liu, Chao Jiang, Rengui Bi
exaly  

CONVEX ANALYSIS

Bulletin of the London Mathematical Society, 1972
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