Titlebook: Asymptotic Cones and Functions in Optimization and Variational Inequalities; Alfred Auslender,Marc Teboulle Book 2003 Springer Science+Bus

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Zbigniew W. Raś,Andrzej Skowronthe analysis of these problems, but also paves the way to designng new algorithms for solving them. The basic idea behind a duality framework is greatly similar to the general mathematical line of thinking, namely to transform a hard problem into an easy or at least easier one to be analyzed and to

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Alfred Auslender,Marc TeboulleIncludes supplementary material:

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Asymptotic Cones and Functions in Optimization and Variational Inequalities978-0-387-22590-6Series ISSN 1439-7382 Series E-ISSN 2196-9922

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Tiago Mendes-Neves,João Mendes-Moreiray. This leads to the concepts of asymptotic cone and asymptotic function through its epigraph. Using elementary real analysis and geometrical concepts we develop a complete mathematical treatment to handle the asymptotic behavior of sets, functions, and other induced functional operations.

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