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Optimization with Multivalued Mappings: Theory, Applications and Algorithms

Optimization with Multivalued Mappings: Theory, Applications and Algorithms

Hardcover

Series: Springer Optimization and Its Applications, Book 2

CalculusGeneral Mathematics

ISBN10: 0387342206
ISBN13: 9780387342207
Publisher: Springer Nature
Published: Jul 18 2006
Pages: 276
Weight: 1.29
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English

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).

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