ENGLISH

Topological Aspects of Nonsmooth Optimization

By Vladimir Shikhman (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2012
ISBN
1461418968, 9781461418962, 9781461418979
DOI
10.1007/978-1-4614-1897-9
Google Books ID
_D4FL3i4vIQC
Language
english
Format
PDF
Filesize
2 MB (1637406 bytes)
Series
Springer Optimization and Its Applications 64
Edition
1
Pages
196\206
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00
Optimization; Continuous Optimization; Functional

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. ​ ​

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