Topological Aspects of Nonsmooth Optimization

Author/creator Shikhman, Vladimir Author
Format Electronic
Publication InfoNew York : Springer
Descriptionxi, 193 p. ill 23.500 x 015.500 cm.
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International
Subjects

SeriesSpringer Optimization and Its Applications / Nonconvex Optimization and Its Applications Ser.
Summary Annotation This bookdeals withnonsmooth 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 andbilevel optimization. The author uses thetopologicalapproachand 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 andestablishesacomprehensive theory for a rather broad class of optimization problems tailored to theirparticular type of nonsmoothness. Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate studentsin applied mathematics, especially those workingin optimization theory, nonsmooth analysis, algebraic topology and singularity theory.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9781461418962
ISBN1461418968 (Trade Cloth) Active Record
Standard identifier# 9781461418962
Stock number1461418968 00024965

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