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

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Existence and Stability in Optimization Problems, of extremum problems, and thus the need for weaker and more realistic assumptions. This chapter develops several fundamental concepts and tools revolving around asymptotic functions to derive existence and stability results for general and convex minimization problems.
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978-1-4419-3036-1Springer Science+Business Media New York 2003
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Tiago Mendes-Neves,João Mendes-Moreirand 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 th
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Hao Wang,Kui Yu,Xindong Wu,Hongliang Yaoresult states that a lower semicontinuous function attains its minimum over a compact set. The compactness hypothesis is often violated in the context of extremum problems, and thus the need for weaker and more realistic assumptions. This chapter develops several fundamental concepts and tools revol
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