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Bibliographic Details

Title: Topological Aspects of Nonsmooth Optimization (Springer Optimization and Its Applications) (Volume 64)
Publisher: U.S.A.: Springer
Publication Date: 2014
Language: English
ISBN 10: 1493900692
ISBN 13: 9781493900695
Binding: Soft cover
Edition: 1st Edition
Condition: New
Dust Jacket Condition: New

About this title

Synopsis

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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