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Topological Aspects of Nonsmooth Optimization / by Vladimir Shikhman

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Optimization and Its Applications ; 64 | SpringerLink BücherPublisher: New York, NY : Springer New York, 2012Description: Online-Ressource (XI, 193p. 29 illus, digital)ISBN:
  • 9781461418979
Subject(s): Additional physical formats: 9781461418962 | Buchausg. u.d.T.: 978-1-4614-1896-2 MSC: MSC: *90-02 | 49J52 | 90C33 | 90C34 | 58E05LOC classification:
  • QA402.5-402.6
DOI: DOI: 10.1007/978-1-4614-1897-9Online resources: Summary: Preface. -Notation -- Introduction -- Mathematical Programming Problems with Complementarity -- Constraints -- General Semi-infinite Programming Problems -- Mathematical Programming Problems with Vanishing Constraints -- Bilevel Optimization -- Impacts on Nonsmooth Analysis -- Appendix -- Bibliography -- References -- Index.Summary: 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.PPN: PPN: 1651097461Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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