Titlebook: Topics in Nonconvex Optimization; Theory and Applicati Shashi Kant Mishra Book 2011 Springer New York 2011 Nonconvex Optimization.Operation

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Proximal Proper Saddle Points in Set-Valued Optimization, problem for which an existence criterion is obtained. It is also observed that this saddle point is not related to some of the well-known saddle points. A saddle point type optimality criterion is derived for optimality in terms of proximal proper minimizers.

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Decomposition Methods Based on Augmented Lagrangians: A Survey, problemswith major emphasis on several splitting approaches based on the classical or modified augmented Lagrangian functions. This study covers last 40 years of research on theoretical properties of augmented Lagrangians.

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Second-Order Symmetric Duality with Generalized Invexity,econd-order . − (.,.)-bonvexity and . − (.,.)-boncavity of the kernel function are studied. It is also observed that for a particular kernel function, both these pairs of programs reduce to general nonlinear problem introduced by Mangasarian. Many examples and counterexamples are illustrated to just