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Optimization with Multivalued Mappings - Theory, Applications and Algorithms (Hardcover, 2006 ed.)
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Optimization with Multivalued Mappings - Theory, Applications and Algorithms (Hardcover, 2006 ed.)
Series: Springer Optimization and Its Applications, 2
Expected to ship within 10 - 15 working days
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In the field of nondifferentiable nonconvex optimization, one of
the most intensely investigated areas is that of optimization
problems involving multivalued mappings in constraints or as the
objective function. This book focuses on the tremendous development
in the field that has taken place since the publication of the most
recent volumes on the subject. The new topics studied include the
formulation of optimality conditions using different kinds of
generalized derivatives for set-valued mappings (such as, for
example, the coderivative of Mordukhovich), the opening of new
applications (e.g., the calibration of water supply systems), or
the elaboration of new solution algorithms (e.g., smoothing
methods). The book is divided into three parts. The focus in the
first part is on bilevel programming. The chapters in the second
part contain investigations of mathematical programs with
equilibrium constraints. The third part is on multivalued
set-valued optimization. The chapters were written by outstanding
experts in the areas of bilevel programming, mathematical programs
with equilibrium (or complementarity) constraints (MPEC), and
set-valued optimization problems.
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