Topological Aspects of Nonsmooth Optimization
|Country of Origin||India|
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. ?