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Field name	Details
Dewey Class	003.3
Title	Asymptotic Cones and Functions in Optimization and Variational Inequalities ([EBook] /) / by Alfred Auslender, Marc Teboulle.
Author	Auslender, Alfred
Added Personal Name	Teboulle, Marc author.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 2003.
Physical Details	XII, 249 p. : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9780387225906
Summary Note	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 monotone maps. In all these topics we are faced with the central problem of handling unbounded situations.:
Contents note	Convex Analysis and Set-Valued Maps: A Review -- Asymptotic Cones and Functions -- Existence and Stability in Optimization Problems -- Minimizing and Stationary Sequences -- Duality in Optimization Problems -- Maximal Monotone Maps and Variational Inequalities.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b97594
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Calculus of variations . Calculus of variations and optimal control; optimization . Management science . Mathematical analysis . Mathematical Modeling and Industrial Mathematics . Mathematical models . Mathematical optimization . Mathematics . Operations research . Operations Research, Management Science . Optimization . Potential Theory . Potential theory (Mathematics) . Authors: Auslender, Alfred . Teboulle, Marc . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 003.3 .

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Asymptotic Cones and Functions in Optimization and Variational Inequalities

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