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Topological Aspects of Nonsmooth Optimization

Topological Aspects of Nonsmooth Optimization

Paperback

Series: Nonconvex Optimization and Its Applications, Book 64

General MathematicsProbability & Statistics

ISBN10: 1493900692
ISBN13: 9781493900695
Publisher: Springer Nature
Published: Jan 25 2014
Pages: 196
Weight: 0.66
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

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.

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