Overview

""Nonsmooth Optimization Methods and Applications"" provides an overview of this branch of mathematics, concentrating on the interaction between the theory and its applications. The topics covered include: generalization of convexity, invexity, coercivity, monotonicity and pseudoconvexity; generalization of differentiability of functions and multifunctions, and their applications to extremum problems; variational and hemivariational inequalities and their applications to mechanics and operations research; calculus for non-differentiable functions and new developments in the calculus of variations; stability of mathematical programs; Lagrangian multipliers and augmented Langrangian theory; penalty methods; vector extremum problems and methods for solving non-differentiable extremum problems, in particular bundle methods.

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9782881248788

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F. Giannessi, Department of Mathematics, University of Pisa, Italy.

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