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portada Topological Aspects of Nonsmooth Optimization
Type
Physical Book
Author
Publisher
Language
English
Pages
196
Format
Paperback
Dimensions
23.4x15.6x1.1 cm
Weight
0.30 kg.
ISBN13
9781493900695
Categories

Topological Aspects of Nonsmooth Optimization

Vladimir Shikhman (Author) · Springer · Paperback

Topological Aspects of Nonsmooth Optimization - Shikhman, Vladimir

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Synopsis "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 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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