| Topological Aspects of Nonsmooth Optimization 2012 Edition Contributor(s): Shikhman, Vladimir (Author) |
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ISBN: 1461418968 ISBN-13: 9781461418962 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: November 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Functional Analysis - Mathematics | Optimization |
| Dewey: 519.6 |
| Physical Information: 0.5" H x 6.14" W x 9.21" (1.03 lbs) 196 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |