Topological aspects of nonsmooth optimization

This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimiz...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Shikhman, Vladimir
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: New York, NY : Springer New York [20..].
Cham : Springer Nature
Rhifyn:1st ed. 2012.
Cyfres:Springer Optimization and Its Applications 64
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Edition sous un autre format:• Topological Aspects of Nonsmooth Optimization, Texte imprimé, 9781493900695
• Topological Aspects of Nonsmooth Optimization, Texte imprimé, 9781461418986
• Topological Aspects of Nonsmooth Optimization, Texte imprimé, 9781461418962
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Crynodeb:This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimization. The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, the critical point theory in the sense of Morse is presented and parametric and stability issues are considered. The material progresses systematically and establishes a comprehensive theory for a rather broad class of optimization problems tailored to their particular type of nonsmoothness.   Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate students in applied mathematics, especially those working in optimization theory, nonsmooth analysis, algebraic topology and singularity theory.
Disgrifiad o'r Eitem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9781461418979
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