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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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期刊全称Asymptotic Cones and Functions in Optimization and Variational Inequalities
影响因子2023Alfred Auslender,Marc Teboulle
视频video
发行地址Includes supplementary material:
学科分类Springer Monographs in Mathematics
图书封面Titlebook: Asymptotic Cones and Functions in Optimization and Variational Inequalities;  Alfred Auslender,Marc Teboulle Book 2003 Springer Science+Bus
影响因子Nonlinear applied analysis and in particular the related ?elds of continuous optimization and variational inequality problems have gone through major developments over the last three decades and have reached maturity. A pivotal role in these developments has been played by convex analysis, a rich area covering a broad range of problems in mathematical sciences and its applications. Separation of convex sets and the Legendre–Fenchel conjugate transforms are fundamental notions that have laid the ground for these fruitful developments. Two other fundamental notions that have contributed to making convex analysis a powerful analytical tool and that haveoftenbeenhiddeninthesedevelopmentsarethenotionsofasymptotic sets and functions. The purpose of this book is to provide a systematic and comprehensive account of asymptotic sets and functions, from which a broad and u- ful theory emerges in the areas of optimization and variational inequa- ties. There is a variety of motivations that led mathematicians to study questions revolving around attaintment of the in?mum in a minimization problem and its stability, duality and minmax theorems, convexi?cation of sets and functions, and maximal mo
Pindex Book 2003
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发表于 2025-3-21 22:38:51 | 显示全部楼层
Asymptotic Cones and Functions in Optimization and Variational Inequalities
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Foundations of Intelligent Systems error bounds associated with a given subset of a Euclidean space. A general framework is developed around these two themes to characterize asymptotic optimality and error bounds for convex inequality systems.
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Minimizing and Stationary Sequences, error bounds associated with a given subset of a Euclidean space. A general framework is developed around these two themes to characterize asymptotic optimality and error bounds for convex inequality systems.
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Book 2003developments over the last three decades and have reached maturity. A pivotal role in these developments has been played by convex analysis, a rich area covering a broad range of problems in mathematical sciences and its applications. Separation of convex sets and the Legendre–Fenchel conjugate tran
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Foundations of Intelligent Systemsnot only to recast these problems in the format of solving generalized equations, but also leads to the development of methods for their solutions. The purpose of this chapter is to give a self-contained introduction to the theory of maximal monotone maps, which are useful for analyzing and solving variational inequalities.
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