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MARC 21

Asymptotic Cones and Functions in Optimization and Variational Inequalities
Tag	Description
020	$a9780387225906$9978-0-387-22590-6
082	$a003.3$223
099	$aOnline resource: Springer
100	$aAuslender, Alfred.
245	$aAsymptotic Cones and Functions in Optimization and Variational Inequalities$h[EBook] /$cby Alfred Auslender, Marc Teboulle.
260	$aNew York, NY :$bSpringer New York,$c2003.
300	$aXII, 249 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aSpringer Monographs in Mathematics,$x1439-7382
505	$aConvex 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.
520	$aNonlinear 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aTeboulle, Marc.$eauthor.
710	$aSpringerLink (Online service)
830	$aSpringer Monographs in Mathematics,$x1439-7382
856	$uhttp://dx.doi.org/10.1007/b97594