Topological Aspects of Nonsmooth Optimization

   In stock
SKU
BK0069863
ISBN13 9781461418962
Binding PAPERBACK
Author VLADIMIR SHIKHMAN
Language ENGLISH
Publisher SPRINGER VERLAG
Published Year 2012
Country of Origin India

10174.00

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. ?