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Bibliografische Details

Titel: Topological Aspects of Nonsmooth Optimization (Springer Optimization and Its Applications) (Volume 64)
Verlag: U.S.A.: Springer
Ver�ffentlichungsdatum: 2014
Sprache: Englisch
ISBN-10: 1493900692
ISBN-13: 9781493900695
Bindung: Soft cover
Ausgabe: 1st Edition
Zustand: New
Zustand des Schutzumschlags: New

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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.

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